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If A and B two are 3xx3 matrices then w...

If A and B two are `3xx3` matrices then which one of the following is not true:

A

(A+B) = A + B

B

(AB) = A' B'

C

det (AB)= det (A) det (B)

D

A (adj A) = `|A| I_(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. Let Aa n dB be two 2xx2 matrices. Consider the statements A B=O A+Oo...

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  2. If A-2B=[1 5 3 7]a n d2A-3B=[-2 5 0 7] the matrix B= [-4-5-6-7] (b) ...

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  3. If A and B two are 3xx3 matrices then which one of the following is n...

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  4. If A = ((costheta,-sintheta),(sintheta,costheta)) then

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  5. If A=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,bc,c^(2))] "and B"= [(0,c,-b),(-...

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  6. If A is an invertible matrix and B is an orthogonal matrix of the orde...

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  7. Prove that the product of the matrices [[cos^2alpha, cosalphasinalpha]...

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  8. If [(2,1),(7,4)]A[(-3,2),(5,-3)]=[(1,0),(0,1)] then matrix A equals

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  9. The matrix A satisfying A[[1, 5], [0, 1]]=[[3, -1], [6, 0]] is

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  10. If product of matrix A with [(1,1),(2,0)] is [(3,2),(1,1)] then A^(-1)...

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  11. If A and B are two skew symmetric matrices of order n then

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  12. Which of the following statements is false :

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

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

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

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

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

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

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

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