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give an example of two matrices a and b for which ab=0 but ba is not equal to 0 where 0 is null matrix and a and b are both non zero matrices
If A=[0 tan(alpha)/2]
tan(alpha)/2 0 ] and I is an identity matrix of order 2, then (IA)[ cos(alpha) sin(alpha)
sin(alpha) cos(alpha)]
is equal to?
(A)A
(B)I
(C)I+A
(D)none of the above
If A and B are two equal ordered matrix such that AB = BA
then prove that
If A, B and C are three matrices of order 2 × 3, 3 × 2 and 3 × 3, then the matrices given in which of the following options are defined?
A + B, A + B^{T}, (AB)^{ T}
(AB)^{ T}, ACB^{T}, A B
ACB^{T}, AC + B^{T}, AB
4C, ACB^{T}, C^{T}B + A
Please give the steps to find the inverse of a 2X2 and 3X3 matrix.
in an upper triangular matrix A=[aij]n*n the elements aij=0 for(A) i(B) i=j(C) ij(D) i
Find the matrix p satisfying the equation
2 1 * P * 3 2 = 1 2
3 2 5 3 2 1
If A = [ 1 0 0 reduce it to I_{3} using column transformation
2 1 0
3 3 1]
how to solve this problem
use the matrix method solve for the following system of linear equations:
x+y+z=3; 2xy+z=2; x2y+3z=2
Prove that the volume of the largest cone that can be inscribed in a spere is 8/27 of the volume of the sphere.
What is the rank in matrices
if A and B are square matrices of order 3 such that A=1 , B= 3 then 3AB is equaal to
how to solve the determinant 0 99 998
99 0 997
998 997 0
Is there any formula for division of two matrices? If yes then what is that? n if no then how can we divide two matrix ?
Construct a 2X2 matrix, A= [aij] where aij =[ij i_ j]
[i+j i
find the product of matrices A=[ 5 1 3 7 1 5 1 1 1 ], B=[1 1 2 3 2 1 2 1 3] and use it for solving the equations: x+y+2z=1; 3x+2y+z=7; 2x+y+3z=2.
Is there any formula for division of two matrices? If yes then what is that? n if no then how can we divide two matrix?
What is reciprocal of matrices ?
Please explain with examples .
If A ,B and C are nonzero real numbers then D=[b^2c^2 bc b+c] c^2a^2 ca c+a a^2b^2 ab a+b =?
Please tell me the best book for iit jee main;; maths physics and chemistry
I want a good book in iit jee maths with full thoery+concepts. But .Not RD sharma....
Please help me
A trust fund has Rs. 30,000 that is to be invested in teo different types of bonds. The first bond pays 5% interest per year and the second bond pays 7% per year . Using matrix multiplication ,determine how to divide Rs.30,000 among the two types of bonds if the trust fund must obtain an annual total interest of Rs. 2,000.
When do we say that a matrix is orthogonal?
HOW TO FIND RANK OF A 4*4 MATRIX
If all the element of any square matrix are 0 the
a. A^{2} = 9A
b. A^{3} = 27A
c. A + A = A^{2}
d. A^{1} does not exist
and (A^8 + A^6 + A^4 + A^2 + I) V = [31] 62
(where I is the (2*2) identity matrix) , then the product of all elements of matrix V isplease explain and give me some suggestion that how to solve this
in matrices in topic addition of matric it is 8 but u have given 8 please correct it
IS it true that every row matrix is a horizontal matrix .And ,every column matrix is a verticla matrix but in case of horizontal matrix no. of columns must be greater than no.of row but in case of row matrix 1*1 matrix is also included so can you call row matrix as horizontal matrix .so am i right.
Hi please anybody solve this question for me with proper explanation
is there any possible way to get the inverse of a matrices by elementary operation quickly and easily without getting it wrong
A = 2 3 3
3 2 3
3 3 2 is matrix of order 3 * 3.
S.T : A^2  7A = 7I .Find A inverse ( without using any elementary transformation or adjoint method )
if a and b are two square matrices of the same order then (a+b)(ab) is equal to..............
If A be a 3 X 3 singular matrix of rank 2 and rank(AB)= 3, (where (AB) is the augmented matrix), then the system of linear equations Ax=B has
A) Unique solution B) Infinitely many solutions C) No solution
D) At least one but finitely many solutions
E.g: 9876543210, 01112345678
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Syllabus
give an example of two matrices a and b for which ab=0 but ba is not equal to 0 where 0 is null matrix and a and b are both non zero matrices
If A=[0 tan(alpha)/2]
tan(alpha)/2 0 ] and I is an identity matrix of order 2, then (IA)[ cos(alpha) sin(alpha)
sin(alpha) cos(alpha)]
is equal to?
(A)A
(B)I
(C)I+A
(D)none of the above
[2 3 5]
[3 2 4]
[1 1 2]
and order of matrix B= 3 X 2
Then can the order of matrix AB be 3? If not then why?
If A and B are two equal ordered matrix such that AB = BA
then prove that
a) ADAPTABLE TO NEW TECHNIQUES
b)CAREFUL AND ALERTIN DIFFICULT SITUATIONS and
c) KEEPING CALM IN TENSE SITUATIONS
AT THE RATE OF Rs. x,Rs. y,Rs. z PER PERSON RESP.
THE FIRST FACTORY DECIDED TO HONOUR RESP 2,3,4 EMOPLOYEES WITH A TOTAL PRIZE MONEY OF Rs29000.
THE SECOND FACTORY DECIDED TO HONOUR RESP. 5,2,3 EMPLOYEES WITH THE PRIZE MONEY OF Rs. 30500.IF THE THREE PRIZES PER PERSON TOGETHER COST Rs.9500THEN
i) represent the above situation by matrix equation and form linear equation using matrix multiplication .
ii)solve these equation by matrix method.
PLS. HELP AND ALSO TELL WHTTHIS QUES ACTUALLY MEANS!!!
If A, B and C are three matrices of order 2 × 3, 3 × 2 and 3 × 3, then the matrices given in which of the following options are defined?
 A)
 B)

 Next
 clear
"C)A + B, A + B^{T}, (AB)^{ T}
(AB)^{ T}, ACB^{T}, A B
ACB^{T}, AC + B^{T}, AB
4C, ACB^{T}, C^{T}B + A
Please give the steps to find the inverse of a 2X2 and 3X3 matrix.
in an upper triangular matrix A=[aij]n*n the elements aij=0 for(A) i(B) i=j(C) ij(D) i
7A (I + A)3, where I is an identity matrix.
(a) w I (b) w^{ 2 }(c) A^{2}^{}(d) A itself
Find the matrix p satisfying the equation
2 1 * P * 3 2 = 1 2
3 2 5 3 2 1
If A = [ 1 0 0 reduce it to I_{3} using column transformation
2 1 0
3 3 1]
how to solve this problem
This is a board question of maths2015 from series SSO.
Use matrix method to find the rate of interest. Do you think people should donate to such trusts?
use the matrix method solve for the following system of linear equations:
x+y+z=3; 2xy+z=2; x2y+3z=2
Prove that the volume of the largest cone that can be inscribed in a spere is 8/27 of the volume of the sphere.
What is the rank in matrices
if A and B are square matrices of order 3 such that A=1 , B= 3 then 3AB is equaal to
how to solve the determinant 0 99 998
99 0 997
998 997 0
Is there any formula for division of two matrices? If yes then what is that? n if no then how can we divide two matrix ?
i) Represent the above situation by a matrix equation after forming linear equations.
Construct a 2X2 matrix, A= [aij] where aij =[ij i_ j]
[i+j i
2 1 3
4 1 3
7 2 1
q. p. s. p
find the product of matrices A=[ 5 1 3 7 1 5 1 1 1 ], B=[1 1 2 3 2 1 2 1 3] and use it for solving the equations: x+y+2z=1; 3x+2y+z=7; 2x+y+3z=2.
finding the inverse of coefficient matrix by elementary transformation method
(1) x+y+z=6 xy+2z=5 2x+yz=1
(2) 2x+3yz=11 x+2y+z = 8 3xy2z = 5
Is there any formula for division of two matrices? If yes then what is that? n if no then how can we divide two matrix?
What is reciprocal of matrices ?
Please explain with examples .
If A ,B and C are nonzero real numbers then D=[b^2c^2 bc b+c] c^2a^2 ca c+a a^2b^2 ab a+b =?
[1 2 ]
plssss help!!!!
7. Let A be orthogonal and non singular matrix of order n_{1 }then the determinant of matrix (AI_{n}) is equal to.
$\mathrm{a}.\left{\mathrm{I}}_{\mathrm{n}}\mathrm{A}\right\mathrm{b}.\left\mathrm{A}\right\left{\mathrm{I}}_{\mathrm{n}}\mathrm{A}\right\phantom{\rule{0ex}{0ex}}\mathrm{c}.\left\mathrm{A}\right\mathrm{c}.{\left(1\right)}^{\mathrm{n}}\left\mathrm{A}\right\left{\mathrm{I}}_{\mathrm{n}}\mathrm{A}\right$
Please tell me the best book for iit jee main;; maths physics and chemistry
I want a good book in iit jee maths with full thoery+concepts. But .Not RD sharma....
Please help me
A trust fund has Rs. 30,000 that is to be invested in teo different types of bonds. The first bond pays 5% interest per year and the second bond pays 7% per year . Using matrix multiplication ,determine how to divide Rs.30,000 among the two types of bonds if the trust fund must obtain an annual total interest of Rs. 2,000.
When do we say that a matrix is orthogonal?
HOW TO FIND RANK OF A 4*4 MATRIX
If all the element of any square matrix are 0 the
a. A^{2} = 9A
b. A^{3} = 27A
c. A + A = A^{2}
d. A^{1} does not exist
finding the inverse of coefficient matrix by elementary transformation method
{1} X+Y+Z=6
{2} 2X+3YZ=11
Please give an example.
Thank you.
and (A^8 + A^6 + A^4 + A^2 + I) V = [31] 62
(where I is the (2*2) identity matrix) , then the product of all elements of matrix V isplease explain and give me some suggestion that how to solve this
in matrices in topic addition of matric it is 8 but u have given 8 please correct it
If A and B are two equal ordered matrix such that AB = BA
then prove that
pls help!!!
IS it true that every row matrix is a horizontal matrix .And ,every column matrix is a verticla matrix but in case of horizontal matrix no. of columns must be greater than no.of row but in case of row matrix 1*1 matrix is also included so can you call row matrix as horizontal matrix .so am i right.
Hi please anybody solve this question for me with proper explanation
(i used double braces in place of single square brace)If P={sqrt3/2 1/2 } { 1/2 sqrt3/2 } andA={1 1} {0 1}are two matrices and Q=PAP^tthen P^t(Q^2005)P is equal to(1) {1 2005} (2) { {0 1} {sqrt3/2 2005} {1 0}(3) { 1 2005} (4) {1 sqrt3/2} {sqrt3/2 1} { 0 2005}is there any possible way to get the inverse of a matrices by elementary operation quickly and easily without getting it wrong
A = 2 3 3
3 2 3
3 3 2 is matrix of order 3 * 3.
S.T : A^2  7A = 7I .Find A inverse ( without using any elementary transformation or adjoint method )
if a and b are two square matrices of the same order then (a+b)(ab) is equal to..............
If A be a 3 X 3 singular matrix of rank 2 and rank(AB)= 3, (where (AB) is the augmented matrix), then the system of linear equations Ax=B has
A) Unique solution B) Infinitely many solutions C) No solution
D) At least one but finitely many solutions