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If A=[[4, -1], [-1, k]] such that A^(2)-...

If `A=[[4, -1], [-1, k]]` such that `A^(2)-6A+7I=0 and k=`

A

1

B

3

C

2

D

4

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The correct Answer is:
C
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATRICES
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  2. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

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  3. If A=[[4, -1], [-1, k]] such that A^(2)-6A+7I=0 and k=

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  4. Simplify cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin t...

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

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  6. If A = [(cos alpha,sin alpha),(-sin alpha,cos alpha)], then A^(10) = ....

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  7. The element of second row and third column in the inverse of [[1, 2, 1...

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  8. If A = [(4,5),(2,5)], then |(2A)^(-1)|=....

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  9. If [(x-y-z),(-y+z),(z)]=[(0),(5),(3)] then the values of x,y and z are...

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  10. The value of x, y, z for the following system of equations x + y + z =...

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  11. If A = [(3,0,0),(0,3,0),(0,0,3)], then |A||adj A| =...

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  12. If the system of equations 6x + 2y = 3 and kx + y = 2 has a unique so...

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  13. Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...

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  14. Matrix A =[(1,2,3),(1,1,5),(2,4,7)] then the value of A(31) A(3...

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  15. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

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  16. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

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  17. Select and write the most appropriate answer from the given alternativ...

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  18. A = [(cos theta,-sin theta),(-sin theta,-cos theta)] then find A^(-1).

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  19. If A = [(a,b),(c,d)] then find the value of |A|^(-1)

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  20. If A = [(3,1),(5,2)], and AB = BA = I, then find the matrix B.

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