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If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , ...

If `A`=`[(1 ,0, 0),(0, 1,0),( a,b, -1)]` , then `A^2` is equal to (a) a null matrix (b) a unit matrix (c) ` A` (d) `A`

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To find \( A^2 \) for the matrix \[ A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ a & b & -1 \end{pmatrix}, \] we will perform matrix multiplication of \( A \) with itself. ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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  11. If A ,\ B are square matrices of order 3,\ A is non-singular and A ...

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  13. If A=[(1,a),(0, 1)] , then A^n (where n in N) equals [(1,n a),(0,...

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  14. If A=[1 2x0 1 0 0 0 1] and B=[1-2y0 1 0 0 0 1] and A B=I3 , then x+y e...

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  15. If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and ...

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  16. If A=[alphabetagamma-alpha] is such that A^2=I , then 1+alpha^2+betaga...

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  17. If S=[S(i j)] is a scalar matrix such that s(i i)=ka n dA is a square ...

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  18. If a square matrix such that A^2=A , then (I+A)^3-7A is equal to A ...

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  19. If a matrix A is both symmetric and skew-symmetric, then A is a

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  20. The matrix [(0, 5,-7),(-5, 0, 11),( 7,-11, 0)] is (a) a skew-symmetr...

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