If $\left[\begin{array}{ccc}1&1&1\\1&1&1\\1&1&1\end{array}\right]$ , prove that $A^{n}= \left[\begin{array}{ccc}3^{n-1} &3^{n-1}&3^{n-1}\\3^{n-1} &3^{n-1}&3^{n-1}\\3^{n-1} &3^{n-1}&3^{n-1}\end{array}\right]$ , n ⋲ N.

Math, 9 months ago

Find the values of x, y, z if the matrix satisfy $A=\left[\begin{array}{ccc}0&2y&z\\x&y&-z\\x&-y&z\end{array}\right]$ the equation A’A =I.

Math, 9 months ago

If $A=\left[\begin{array}{ccc}3&-4\\1&-1\end{array}\right]$ then prove that $A^{n} =\left[\begin{array}{ccc}1+2n&-4n\\n&1-2n\end{array}\right]$ where n is any positive integer.

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