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If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[...

If `A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]],` find the values of `alpha` for which `A^2=Bdot`

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

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

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

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

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  5. 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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  6. A and B are square matrices and A is non-singular matrix, then (A^(-1)...

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  7. If A is a singular matrix, then adj A is

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  8. The inverse of a diagonal matrix is a. a diagonal matrix              ...

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  9. If P is non-singular matrix, then value of adj(P^(-1)) in terms of P i...

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  10. If adjB=A ,|P|=|Q|=1, then. adj(Q^(-1)B P^(-1)) is a.P Q b. Q A P c...

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  11. If A is non-singular and (A-2I)(A-4I)=0 , then ,1/6A+4/3A^(-1) is equa...

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  12. If A(alpha,beta)=[[cosalpha,sinalpha,0],[-sinalpha,cosalpha,0],[ 0, 0,...

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  13. If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B...

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  14. A=[(1,tan x),(-tan x,1)] and f(x) is defined as f(x)= det. (A^(T)A^(-1...

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  15. The equation [[1, 2 ,2 ],[1 ,3, 4],[ 2, 4,k]][(x) ,(y), (z)] =[(0),(0)...

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  16. If D(1) and D(2) are two 3xx3 diagonal matrices, then which of the fol...

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  17. If Aa n dB are symmetric and commute, then which of the following is/a...

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  18. If C is skew-symmetric matrix of order n and X is nxx1 column matrix, ...

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  19. Show that abs((a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0):}=0 ...

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  20. Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...

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