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Which of the following statements is fal...

Which of the following statements is false :

A

If |A| =0 then |adj A| =0

B

Adjoint of a diagonal matrix of order `3xx3` is a diagonal matrix

C

Product of two upper triangular matrices is a upper triangular matrix

D

adj (AB) = adj ( A) adj (B)

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
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  2. If A and B are two skew symmetric matrices of order n then

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  3. Which of the following statements is false :

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  4. If A and B are symmetric matrices then A B-B A is a Symmetric Matrix ...

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  5. Let A and B be two 3xx3 matrices such that A+B = 2 B' and 3A + 2B= I ...

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  6. If A and B are two nonzero square matrices of the same order such that...

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  7. If A is skew-symmetric and B=(I-A)^(-1)(I+A), then B is

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

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  11. The number of matrices A = [(a,b),(c,d)] ( where a,b,c,din R ) such...

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  12. Let A be a 3xx3 matrix with entries from the set of numbers, If the sy...

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

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

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

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

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

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  19. If A is an orthogonal matrix, then

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