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If A=[[a+i b, c+i d],[-c+i d, a-i b]] an...

If `A=[[a+i b, c+i d],[-c+i d, a-i b]] and a^2+b^2+c^2+d^2=1,t h e n ,A^(-1)` is equal to a.`[[a+i b,-c+i d],[c+i d, a-i b]]` b. `[[a-i b,-c-i d],[-c-i d, a+i b]]` c. `[[a+i b,-c-i d],[-c+i d, a-i b]]` d. none of these

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A and B are two non-singular matrices such that A B=C ,t h e n,|B| ...

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  2. If A(alpha,beta)=[cosalphas inalpha0-s inalphacosalpha0 0 0e^(beta)],t...

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  3. If A=[[a+i b, c+i d],[-c+i d, a-i b]] and a^2+b^2+c^2+d^2=1,t h e n ...

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  4. Statement 1: A=[(4,0,4),(2,2,2), (1,2,1)] B^(-1)=[(1,3,3),(1,4,3),(1,3...

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  5. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

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  6. Statement 1: if a ,b ,c ,d are real numbers and A=[a b c d]a n dA^3=O ...

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  7. A 3xx3 matrix given as, a(i j)=(i-j)/(i+2j) cannot be expressed as a s...

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  8. Statement 1: If A ,B ,C are matrices such that |A(3xx3)|=3,|B(3xx3)|=-...

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  9. Statement 1: For a singular square matrix A ,A B=A C B=Cdot Statemen...

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  10. Statement 1: The inverse of singular matrix A=([a(i j)])(nxxn), \ w h ...

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  11. Show that : The determinant of a matrix A=([a(i j)])(5xx5) where a(i j...

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  12. If A=[1 2 2 1]a n df(x)=(1+x)/(1-x),t h e nf(A) is [1 1 1 1] b. [2 2 ...

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  13. Id [(1/25, 0), (x,1/25)]=[(5, 0), (-a, 5)]^(-2) , then the value of x ...

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  14. If A=|[1,tanx],[-tanx,1]| , show that A^T\ A^(-1)=|[cos2x,-sin2x],[sin...

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  15. If A is a square matrix of order n such that |a d j(a d jA)|=|A|^9, th...

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  16. If A is order 3 square matrix such that |A|=2, then |(adj(adj(adjA)))|...

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  17. If A^3=O ,t h e nI+A+A^2 equals a.I-A b. (I+A^1)^(-1) c. (I-A)^(-1) d...

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  18. Evaluate int (1)/((x+1)sqrt(x-2))dx.

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  19. (-A)^(-1) is always equal to (where A is nth-order square matrix) a. (...

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  20. The matrix X for which [[1,-4],[ 3,-2]]X=[[-16-,6],[ 7 ,2]] is a.[[-2,...

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