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Let Aa n dB be two 2xx2 matrices. Consid...

Let `Aa n dB` be two `2xx2` matrices. Consider the statements `A B=O A+OorB=O` `A B=I_2 A=B^(-1)` `(A+B)^2=A^2+2A B+B^2` (i) and (ii) are false, (iii) is true (ii) and (iii) are false, (i) is true (i) is false (ii) and, (iii) are true (i) and (iii) are false, (ii) is true

A

(i) is false (ii) and (iii) are true

B

(i) and (iii) are fase (ii) is true

C

(i) and (ii) are false (iii) is true

D

(ii) and (iii) are fase (i) is true

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B
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MCGROW HILL PUBLICATION-MATRICES-SOLVED EXAMPLES ( LEVEL 1 ( Single Correct Answer Type Questions ) )
  1. If A = [(-i,0),(0,i)] then A ' A is equal to

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  2. If A(alpha)=[[cos alpha,sin alpha],[-sin alpha,cos alpha]] then A(alph...

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  3. Let Aa n dB be two 2xx2 matrices. Consider the statements A B=O A+Oo...

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

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

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

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

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

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

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

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

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

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  14. Which of the following statements is false :

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

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

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

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

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

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