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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 (I-A)[ 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
Please give the steps to find the inverse of a 2X2 and 3X3 matrix.
Find the matrix p satisfying the equation
2 1 * P * -3 2 = 1 2
3 2 5 -3 2 -1
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
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 ?
If A = [ 1 0 0 reduce it to I3 using column transformation
2 1 0
3 3 1]
how to solve this problem
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?
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 =?
What is reciprocal of matrices ?
Please explain with examples .
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
how to solve the determinant 0 99 -998
-99 0 997
998 -997 0
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.
Construct a 2X2 matrix, A= [aij] where aij =[i-j i_ j]
[i+j i
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 + BT, (AB) T
(AB) T, ACBT, A B
ACBT, AC + BT, AB
4C, ACBT, CTB + A
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. A2 = 9A
b. A3 = 27A
c. A + A = A2
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
Hi please anybody solve this question for me with proper explanation
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.
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 )
is there any possible way to get the inverse of a matrices by elementary operation quickly and easily without getting it wrong
if a and b are two square matrices of the same order then (a+b)(a-b) is equal to..............
If A be a 3 X 3 singular matrix of rank 2 and rank(A|B)= 3, (where (A|B) 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
In diagonal matrix is it necessary that all the diagonal elements should be zero or can they be zero.
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 (I-A)[ 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]
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!!!
Please give the steps to find the inverse of a 2X2 and 3X3 matrix.
7A (I + A)3, where I is an identity matrix.
Find the matrix p satisfying the equation
2 1 * P * -3 2 = 1 2
3 2 5 -3 2 -1
This is a board question of maths-2015 from series SSO.
Use matrix method to find the rate of interest. Do you think people should donate to such trusts?
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
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.
If A = [ 1 0 0 reduce it to I3 using column transformation
2 1 0
3 3 1]
how to solve this problem
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.
[-1 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?
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 =?
What is reciprocal of matrices ?
Please explain with examples .
(a) w I (b) w 2 (c) A2(d) A itself
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
how to solve the determinant 0 99 -998
-99 0 997
998 -997 0
2 1 -3
4 -1 3
-7 2 1
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.
finding the inverse of coefficient matrix by elementary transformation method
(1) x+y+z=6 x-y+2z=5 2x+y-z=1
(2) 2x+3y-z=11 x+2y+z = 8 3x-y-2z = 5
Construct a 2X2 matrix, A= [aij] where aij =[i-j i_ j]
[i+j i
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 + BT, (AB) T
(AB) T, ACBT, A B
ACBT, AC + BT, AB
4C, ACBT, CTB + A
When do we say that a matrix is orthogonal?
HOW TO FIND RANK OF A 4*4 MATRIX
finding the inverse of coefficient matrix by elementary transformation method
{1} X+Y+Z=6
{2} 2X+3Y-Z=11
If all the element of any square matrix are 0 the
a. A2 = 9A
b. A3 = 27A
c. A + A = A2
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
Please give an example.
Thank you.
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
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 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.
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 )
pls help!!!
is there any possible way to get the inverse of a matrices by elementary operation quickly and easily without getting it wrong
if a and b are two square matrices of the same order then (a+b)(a-b) is equal to..............
If A be a 3 X 3 singular matrix of rank 2 and rank(A|B)= 3, (where (A|B) 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
In diagonal matrix is it necessary that all the diagonal elements should be zero or can they be zero.