91Ó°ÊÓ

Evaluate the function for the indicated inputs and interpret the result. \(A(5,8),\) where \(A(b, h)=\frac{1}{2} b h(A\) computes the area of a triangle with base \(b\) and height \(h\) )

Graph the solution set to the inequality. $$ x \geq y $$

Determine if \(B\) is the inverse matrix of \(A\) by calculating \(A B\) and \(B A\) $$ A=\left[\begin{array}{ll} 4 & 3 \\ 5 & 4 \end{array}\right], \quad B=\left[\begin{array}{rr} 4 & -3 \\ -5 & 4 \end{array}\right] $$

Determine if the matrix \(A\) is invertible by cal. culating det \(A\) $$ A=\left[\begin{array}{ll} 4 & 3 \\ 5 & 4 \end{array}\right] $$

State the dimension of each matrix. (a) \(\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]\) (b) \(\left[\begin{array}{lll}a & b & c \\ d & e & b\end{array}\right]\) (c) \(\left[\begin{array}{rr}3 & 0 \\ 1 & -4\end{array}\right]\)

Determine if \(B\) is the inverse matrix of \(A\) by calculating \(A B\) and \(B A\) $$ A=\left[\begin{array}{ll} -1 & 2 \\ -3 & 8 \end{array}\right], \quad B=\left[\begin{array}{ll} -4 & 1 \\ -2 & 0.5 \end{array}\right] $$

Determine if the matrix \(A\) is invertible by cal. culating det \(A\) $$ A=\left[\begin{array}{rr} 1 & -3 \\ 2 & 6 \end{array}\right] $$

Graph the solution set to the inequality. $$ y>-3 $$

Determine each of the following for the given matrix \(A,\) if possible. (a) \(a_{12}, a_{21},\) and \(a_{32} (b) \)a_{11} a_{22}+3 a_{23}$ $$\left[\begin{array}{rrrr}1 & 2 & 3 & 4 \\\5 & 6 & 7 & 8 \\\9 & 10 & 11 & 12\end{array}\right]$$

Does the ordered triple \((1,2,3)\) satisfy the equation \(3 x+2 y+z=10 ?\)