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If {:A=[(1,x),(x^7,4y)]a,B=[(-3,1),(1,0)...

If `{:A=[(1,x),(x^7,4y)]a,B=[(-3,1),(1,0)]and adjA+B=[(1,0),(0,1)]:}`, then the values of x and y are respectively

A

(1,1)

B

(-1,1)

C

(1,0)

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-MATRICES-Exercise
  1. The trace of the matrix A=[1-5 7 0 7 9 11 8 9] is (a) 17 (b) 25 ...

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  2. If A is a skew- symmetric matrix, then trace of A is: 1.) 1 2.) -...

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  3. If {:A=[(1,x),(x^7,4y)]a,B=[(-3,1),(1,0)]and adjA+B=[(1,0),(0,1)]:}, t...

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  4. If A is a square matrix of order n xx n and k is a scalar, then adj (k...

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  5. If A is a singular matrix, then adj A is a. singular b. non singula...

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  6. If A is a non singular square matrix; then adj(adjA) = |A|^(n-2) A

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  7. If A is a singular matrix, then adj A is a. singular b. non singula...

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  8. If A=[(cosx,sinx),(-sinx,cosx)] and A.(adjA)=k[(1,0),(0,1)] then the v...

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  9. If A=[[1,1],[1,1]] ,prove that A^n=[[2^(n-1),2^(n-1)],[2^(n-1),2^(n-1)...

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  10. If A=[(a,b),(b,a0] and A^2=[(alpha, beta0,(beta, alpha)] then (A) alph...

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  11. If A is an invertible square matrix; then adj A^T = (adjA)^T

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  12. If A=[[1,3] , [3,4]] and A^2-kA-5I2=0 then k=

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  13. If A=[a(ij)] is a scalar matrix, then trace of A is

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  14. If A=[a(i j)] is a scalar matrix of order nxxn such that a(i i)=k f...

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  15. If A=[a(ij)] is a scalar matrix of order nxxn such that a(ij)=k for al...

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  16. If A=[a(ij)] is a scalar matrix of order nxxn and k is a scalar, then ...

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  17. Let F(alpha)={:[(cosalpha,-sinalpha,0),(sinalpha,cosalpha,0),(0,0,1)]:...

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  18. F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] and G(x)=[[cosx,0,sinx],[0...

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  19. if[{:(2,1),(3,2):}]A[{:(-3,2),(5,-3):}]=[{:(1,0),(0,1):}],"then" A=?

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  20. If {:[(1,-tantheta),(tantheta,1)][(1, tantheta),(-tantheta,1)]^(-1)=[(...

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