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From the matrix equation AB = AC we can ...

From the matrix equation AB = AC we can conclude B = C provided that

A

A is singular

B

A is non–singular

C

A is symmetric

D

A is a square

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The correct Answer is:
B
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MOTION-MATRICES -Exercise - 1
  1. If A=[(ab,b^2),(-a^2,-ab)], then A is

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  2. A = [[2,-1],[-7,4]] & B =[[4,1],[7,2]] then B^TA^T is :

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  3. If a non-singular matrix and A^(T) denotes the tranpose of A, then

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  4. If A is skew-symmetric matrix, then trace of A is

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  5. If A and B are symmetric matrices, then A B A is

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  6. If A is a skew-symmetric matrix and n is an even natural number,...

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  7. Which one of the following is wrong ?

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  8. [{:(,1,2),(,2,1):}],[{:(,1,2),(,2,1):}]

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  9. If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)], then adj ...

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  10. If A is a squqre matrix such that A^(2)=l, then A^(-1) is equal to

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  11. If A=[(3,-3,4),(2,-3,4),(0,-1,1)], then :

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  12. If A = [[1,2],[3,-5]] and B=[[1,0],[0,2]] and X is a matrix such that ...

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  13. Given A=[(1,3),(2,2)],I=[(1,0),(0,1)]. If A-lambdaI is a singular mat...

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  14. From the matrix equation AB = AC we can conclude B = C provided that

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  15. If A^2-A+I=0, then the invers of A is

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  16. Which of the following is incorrect

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  17. If A is a square matrix of order 3, then the true statement is (where ...

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  18. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

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  19. Let A and B be matrices of order 3 xx 3. If AB = 0, then which of the ...

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  20. Which of the following statements is incorrect for a square matrix A?...

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