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First row of a matrix A is [1,3,2]. If ...

First row of a matrix A is `[1,3,2]`. If
adj `A=[(-2,4,alpha),(-1,2,1),(3alpha,-5,-2)]`, then a det (A) is

A

1

B

2

C

`-1`

D

`-2`

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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. If A is skew-symmetric and B=(I-A)^(-1)(I+A), then B is

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  2. Let a(n)=3^(n)+5^(n), nin N and let A=((a(n),a(n+1),a(n+2)),(a(n+1)...

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  3. First row of a matrix A is [1,3,2]. If adj A=[(-2,4,alpha),(-1,2,1),...

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  4. Suppose ABC is a triangle with sides a,b ,c and semiperimeter s. Then ...

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  7. A=[{:(a,b),(b,-a):}] and MA=A^(2m), m in N for some matrix M, then whi...

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  8. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

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  9. Find the inverse of each of the matrices given below : Let D= "dia...

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  10. The inverse of a symmetric matrix ( if it exists ) is

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  11. Prove that inverse of a skew-symmetric matrix (if it exists) is skew-s...

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  12. The inverse of a skew symmetric matrix of odd order is a symmetric mat...

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  13. If A is an orthogonal matrix, then

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  14. If A = [(1,0,2),(5,1,x),(1,1,1)] is a singular matrix then x is equal ...

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  15. Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(...

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  16. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

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  17. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

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  18. If A, B, and C are three square matrices of the same order, then AB=AC...

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  19. If the product of the matrix B=[(2,6,4),(1,0,1),(-1,1,-1)] with a m...

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  20. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

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