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If A is any mxn matrix and B is a matrix...

If A is any mxn matrix and B is a 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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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
  1. If an upper triangular matrix A=[a](nxxn) the elements a(1)=0 for

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  2. If A is any mxn matrix and B is a matrix such that AB and BA are both ...

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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. If A=[(cos^(2)alpha,cos alphasin alpha),(cos alpha sin alpha, sin^(2)a...

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  6. The matrix X in the equation AX=B, such that A={:[(1,3),(0,1)]:}andB={...

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  7. If I=[1 0 0 1] , J=[0 1-1 0] and B=[costhetasintheta-sinthetacostheta]...

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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.A^T b. A c. A^2 ...

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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=[(ab,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 A and B arę square matrices of same order such that AB = A and BA =...

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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 matrixfand n in N, 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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