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If `A` is an idempotent matrix satisfying, `(I-0. 4 A)^(-1)=I-alphaA ,w h e r eI` is the unit matrix of the name order as that of `A ,` then th value of `|9alpha|` is equal to ________.

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1...

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  2. Let A=[[3x^2], [1], [6x]],B=[a,b,c]and C=[[(x+2)^2, 5x^2, 2x],[5x^2, 2...

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  3. If A is an idempotent matrix satisfying, (I-0. 4 A)^(-1)=I-alphaA ,w h...

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  4. Let A=([a(i j)])(3xx3) be a matrix such that AA^T=4Ia n da(i j)+2c(i j...

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  5. Let A be the set of all 3xx3 skew-symmetri matrices whose entries are ...

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  6. If A=[[0, 1,2],[1,2,3],[3,a,1]]and A^(-1)[[1//2,-1//2,1//2],[-4,3,b],[...

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  7. For two unimodular complex number z1a n dz2 [[barz1, -z2], [barz2, z1...

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  8. If Aa n dB are two non-singular matrices of the same order such that B...

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  9. If A is non-diagonal involuntary matrix, then a. A-I=O b. A+I=O c. A-...

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  10. if A and B are squares matrices such that A^(2006)=O and A B=A+B , the...

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  11. If matrix A is given by A=|[6, 11], [2, 4]| , then the determinant o...

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  12. If A=[(a, b, c), (x, y, z), (p, q, r)], B=[(q,-b, y),(-p, a,-x),(r,-c,...

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  13. If A and B are two non-singular matrices such that A B=C ,t h e n,|B| ...

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

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  15. 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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  16. 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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  17. If f(alpha)=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]],...

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

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

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