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

1. (A+B) (A-B) = A²-B²
2. (A-B)²= A²-2AB+B²
3. (A+B)³= A³+3A²B+3AB²+B³

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)

  A + B, A + B^T, (AB) ^T

• B)

  (AB) ^T, ACB^T, A B

• Next
• clear

ACB^T, AC + B^T, AB

4C, ACB^T, C^TB + 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

If A and B are two equal ordered matrix such that AB = BA

then prove that

1. (A+B) (A-B) = A²-B²
2. (A-B)² = A²-2AB+B²
3. (A+B)³ = A³+3A²B+3AB²+B³

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