Compute the following multiplications using python. Note: $x^T$ is the transpose of $x.$ See

np$.$transpose for documentation. Important: Use $*dot(x*dot(y))$ or matmul $(x,y)$ function

when multiplying matrices.

Matrix multiplication rules yield: $A_{m*n}*B_{m*n}=A_{m*n}*B,$ where $m=$ rows and $n=$ columns.

$n($columns$)$ in A and $m($rows$)$ in $B$ must be identical for the multiplication to be valid.

$($a$)x^T*x$

$($b$)x^T*b$

$($c$)x*b$

$($d$)b*A$

$($e$)b*A*x$

$($f$)x^T*A*b^T$

$($g$)A*B$

$($h$)b^T*x$

$($i$)B*C$

$($j$)A*B*C$