Question

Evaluate the matrix.

Answer 1

\[A=\left[\begin{matrix}0 & -1 \\ 1 & 0\end{matrix}\right]\]

\[B=\left[\begin{matrix}1 & 0 &0 \\ 0 & 0& 1\ \\ 0& 1& 0\end{matrix}\right]\]

Find \[A ^{2}\] and \[B ^{2}\]

Answer 2

and solve for x in the equation AXB=C

Answer 3

Matrix multiplication is a tricky thing to describe...\[AB=\left[\begin{matrix}a_{11} & a_{12} \\ a_{21} & a_{22}\end{matrix}\right]\left[\begin{matrix}b_{11} & b_{12} \\ b_{21} & b_{22}\end{matrix}\right]=\left[\begin{matrix}a_{11}b_{11}+a_{12}b_{21} & a_{11}b_{12}+a_{12}b_{22} \\ a_{21}b_{11}+a_{22}b_{21} & a_{21}b_{12}+a_{22}b_{22}\end{matrix}\right]\]

Answer 4

in this case you will use that formula to multiply each matrix by itself...

Answer 5

for further info
http://www.purplemath.com/modules/mtrxmult.htm

Answer 6

to find A^2 and B^2?

Answer 7

here is the top-left entry of A^2:\[\left[\begin{matrix}0 & -1 \\ 1 & 0\end{matrix}\right]\left[\begin{matrix}0 & -1 \\ 1 & 0\end{matrix}\right]=\left[\begin{matrix}0\cdot0+1\cdot(-1) & ? \\ ? & ?\end{matrix}\right]=\left[\begin{matrix}-1 & ? \\ ? & ?\end{matrix}\right]\ \]

Answer 8

Thanks