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Answers posted by sharmaaparna1

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Find the values of $x, y, z $ if the matrix $ A = \begin{bmatrix} 0 & 2y & z \\ x & y & -z \\ x & -y & z \end{bmatrix} $ satisfy the equation $A'A = I $
answered Mar 4, 2013
Toolbox:If A is an m-by-n matrix and B is an n-by-p matrix, then their matrix product AB is the m-by...
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If $ A = \begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix}$ then prove that $ A^n = \begin{bmatrix} 1+2n & -4n \\ n & 1 - 2n \end{bmatrix} $ , where $n$ is any positive integer.
answered Mar 3, 2013
Toolbox: The sum / difference $A(+/-)B$ of two $m$-by-$n$ matrices $A$ and $B$ is calculat...
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if $A = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{bmatrix}$ prove that $A^n = \begin{bmatrix} 3^{n-1} & 3^{n-1} & 3^{n-1} \\ 3^{n-1} & 3^{n-1} & 3^{n-1} \\ 3^{n-1} & 3^{n-1} & 3^{n-1} \end{bmatrix} , n \in N$.
answered Mar 3, 2013
Toolbox: The sum / difference $A(+/-)B$ of two $m$-by-$n$ matrices $A$ and $B$ is calculat...
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Find $ \frac{1}{2}(A + A')$ and $\frac{1}{2}(A - A')$ , when $ A = \begin{bmatrix} 0 & a & b \\ -a & 0 & c \\ -b & -c & 0 \end{bmatrix} $
answered Mar 3, 2013
Toolbox:If A_{i,j} be a matrix m*n matrix , then the matrix obtained by interchanging the rows and c...
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