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The value of x for which the matrix prod...

The value of `x` for which the matrix product
`[[2,0,7],[0,1,0],[1,-2,1]][[-x,14x,7x],[0,1,0],[x,-4x,-2x]]` equals an identity matrix is

A

`(1)/(2)`

B

`(1)/(3)`

C

`(1)/(4)`

D

`(1)/(5)`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If the matrix A B is a zero matrix, then

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  5. If A B=A and B A=B, then B^2=

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  6. If A = [(i,0),(0,i)] then A^(4n) (n in N ) equals :

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  8. If S=[[a,b],[c,d]] then adj A=

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  9. If A= [[1, 0,0],[0,1, 0],[a, b,-1]] then A^2=

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  10. If A= [[cos x, sin x],[-sin x, cos x]] and A(adj A)=k[[1,0],[0,1]] the...

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  11. If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...

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  13. Let A= [[1,2],[-5,1]] and A^-1=x A+y I, then the values of x and y are

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