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If A=[[2,5],[1,3]], 5I-A= :...

If `A=[[2,5],[1,3]], 5I-A=` :

A

`A^(-1)`

B

2A

C

`(A^(-1))/(2)`

D

`5A^(-1)`

Text Solution

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The correct Answer is:
A
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If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following relations from X to Y are functions ? Give reasonfor your answer. If it is a function. State its type. (i) R_(1) = {(x,y) | y = x + 2, x in X , y in Y } (ii) R_(2) = {(1,1),(2,1),(3,3),(4,3),(5,5)} (iii) R_(3) { (1,1),(1,3),(3,5),(3,7),(5,7)} (iv) R_(4) {(1,3),(2,5),(4,7),(5,9),(3,1)}

If A = [{:(5,3),(-1,-2):}], "show that" " "A^(2)-3A-7I_(2)=0_(2). Hence find A^(-1) .

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PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -PROBLEMS FOR PRACTICE (I. Choose the correct answer)
  1. The angumented matrix of a system of linear equation is [[1,3,-2,5],[0...

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  2. If A=[[3,-1,0],[2,4,1],[-2,-3,5]] the cofactor of 1 is :

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  3. If A=[[2,5],[1,3]], 5I-A= :

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  4. If A=[[-4,4,4],[-7,1,3],[5,-3,-1]], B=[[1,-1,1],[1,-2,-2],[2,1,3]] and...

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  5. Match the following :

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  6. Find the incorrect statement in the following :

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  7. Find the incorrect statement in the following :

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  8. Find the correct statement :

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  9. Find the odd one out :

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  10. Find the odd one out : If A=|[3,7],[4,9]| then its inverse is :

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  11. If A is a matrix of order (2xx3) then A^(-1) will be :

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  12. Two matrices A and B equivalent. Find which is correct :

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  13. If A=|[0,1,a],[1,a,0],[a,0,1]| is invertible matrix then a ne :

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  14. If the system lambda x + 2y = mu and 7x+2y=5 have many solution is :

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  15. The rank of [[1,2,3],[4,5,6]] is :

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  16. Find the correct statement in the following :

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  17. Which of the following is not an elementary transformation ?

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  18. In a system equations if Delta = 0, then which of the following is tru...

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  19. Which one of the following is the Echelon form :

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  20. The inverse of A=[[cos theta, sin theta],[-sin theta,cos theta]] is :

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