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The product of the eigen values of the m...

The product of the eigen values of the matrix `A= [[3,-1],[2,3]]` is

A

11

B

6

C

9

D

0

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A
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A=[[1,0],[-1,7]] and A^2-8 A+k I=0, then k=

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  2. The sum of the eigen values of the matrix A=[[2,-1,3],[1,4,2],[3,1,1]]...

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  3. The product of the eigen values of the matrix A= [[3,-1],[2,3]] is

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  4. If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6, then the e...

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  5. If A=[[1,a],[0,1]], then lim (n to oo)(1)/(n) A^n is

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  6. Let k be a positive real number and let |A|=(2 k+1)^3 and B=[[0,2k,-...

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  7. If A=[[-1,2,1],[1,-1,2],[2,1,1]], then det(a d j(adj A))=

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  8. For a 3xx 3 matrix A, if A .(adj A)=[[3,0,0],[0,3,0[,[0,0,3]] then |A|...

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  9. If A= [[4,x+2],[2x-3, x-1]] is symmetric then x=

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  10. If A= [[2,0,0],[0,2,0],[0,0,2]] then A^6=

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  11. Total number of possible symmetric matrices of order 3xx 3, whose entr...

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  12. If A is matrix of order mxxn and B is a matrix such that AB' and B'A...

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  13. If A and B are matrices of same order then(A B^prime-B A^prime) is

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  14. If A is a square matrix such that A^(2) = I , then : (A-I)^(3) +(A+I)...

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  15. On using elementary operation C(2) to C(2) - 2C(1) in the following ma...

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  16. On using clementary row operation R1 to R1-3 R2 in the following matr...

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  17. If matrix A = [a(ij)] (2xx2) where a(ij) {:(-1," if " i !=j ),(=0 , ...

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  18. If A= [(0,1),(1,0)], then A^(2) equal to

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  19. A and B are two matrices of the order 3xx m and 3xx n respectively, an...

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  20. If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/...

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