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Statement 1: The inverse of singular mat...

Statement 1: The inverse of singular matrix `A=([a_(i j)])_(nxxn), \ w h e r e \ a_(i j)=0,igeqj \ i s \ B=([a i j^-1])_(nxxn)`.
Statement 2: The inverse of singular square matrix does not exist.

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CENGAGE PUBLICATION-MATRICES-All Questions
  1. Statement 1: If A ,B ,C are matrices such that |A(3xx3)|=3,|B(3xx3)|=-...

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

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

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

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

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

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

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

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

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

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

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  14. If A=[(0,-tan (alpha/2)),(tan (alpha/2),0)] and I is 2 xx 2 unit matri...

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  15. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

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  16. If [[a, b],[ c,1-a]] is an idempotent matrix and f(x)=x-x^2 , bc=1/4 ...

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  17. Let x be the solution set of equation A^x=I ,where A+[(0, 1,-1),(4,-3,...

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  18. If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of al...

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  19. Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,...

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  20. Let f(x)=(1+x)/(1-x) . If A is matrix for which A^3=0,then f(A) is (a)...

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