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If A is any mxxn matrix such that AB and...

If A is any `mxxn` matrix such that AB and BA are both defined, then B is a matrix of order

A

`mxxn`

B

`nxxm`

C

`nxxn`

D

`mxxm`

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B
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OBJECTIVE RD SHARMA-MATRICES-Exercise
  1. A matrix A=[a(ij)] is an upper triangular matrix, if

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  2. If A is any mxxn matrix such that AB and BA are both defined, then B i...

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  3. If E(theta)=[[cos theta, sin theta] , [-sin theta, cos theta]] then E(...

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  4. If {:E(theta)=[(cos^2 theta,costhetasintheta),(costhetasintheta,sin^2t...

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  5. {:A=[(cos^2 alpha,cosalphasinalpha),(cosalphasinalpha,sin^2alpha)]:} ...

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  6. If the matrix A is such that ({:(1,3),(0,1):})A=({:(1,1),(0,-1):}), t...

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  7. If I= [[1,0],[0,1]] , J = [[0,1],[-1,0]] and B = [[costheta, sintheta...

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  8. If A is a square matrix such that A A^T=I=A^TA, then A is

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  9. If A is an orthogonal matrix then A^(-1) equals A^T b. A c. A^2 d. non...

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  10. If D=diag(d1,d2,d3,…,dn)" where "d ne 0" for all " I = 1,2,…,n," then ...

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  11. If {:A=[(b,b^2),(-a^2,-ab)]:}, then A is

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  12. If A is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are ...

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  13. Let {:A=[(1,2),(-5,1)]and A^(-1)=xA+yI:}, then the values of x and y a...

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  14. If the square matrices A and B are such that AB = A and BA = B, then

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  15. The inverse of an invertible symmetric matrix is a symmetric matrix.

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  16. The inverse of a diagonal matrix is a. a diagonal matrix b. a skew sym...

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  17. If A is a symmetric matrix and ninN then A^n is

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  18. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  19. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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  20. If A is a skew-symmetric matrix and n is odd positive integer, then A^...

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