$($a$)$ The equation $2x-e^y+z=11$ is a linear equation

$($b$)$ The sequence $(-1,0,3)$ is a solution of the equation $3x+11y+4z=9.()$

$($c$)$ Every system of linear equations has a solution.

$($d$)$ The equation $2x+2y+sinz=7$ is a linear equation

$($e$)$ The sequence $(3,0,-1)$ is a solution of the equation $3x-10y+4z=5.()$

$($f$)$ An inconsistent system has infinitely many solutions. $()$

$($g$)$ The equation $\frac{1}{x}+2y+5z=7$ is a linear equation

$($h$)$ The sequence $(3,0,-1)$ is a solution of the equation $2x-10y-z=7.()$

$($i$)$ An independent system has infinitely many solutions.

$($j$)$ If $A$ is an $mr$ matrix and $B$ is $rn,$ then $AB$ is defined.

$($k$)$ If $AC=BC,$ then $A=B$ assuming the multiplication is defined.

$($l$)$ The transpose of a square matrix is also a square matrix.

$($m$)$ If A and $B$ are matrices of the same size, then $AB$ is defined.

$($n$)$ If $A$ is a square matrix, then $(A^T{)}^2=(A^2{)}^T.(,)$

$($o$)$ If $AB$ is equal to the zero matrix, then either $A$ or $B$ is the zero matrix.

$($p$)$ If $A$ is an invertible matrix, then $A^T=A^{-1}.()$

$($q$)$ If $A+B=A+C,$ then $B=C$ assuming $A,B,C$ have the same size. $()$