Question

Given a matrix A, determine the matrix represented by 3A. -9-9 A= -9 0 ЗА =

Answer 1

1.

$A=\begin{bmatrix} -9 & -9 \\ -9 & 0 \end{bmatrix}$

3A = –9 x (3) -9 x (3) -9 X (3) 0x (3)

$3A=\begin{bmatrix} -27 & -27 \\ -27 & 0 \end{bmatrix}$

2.

$A=\begin{bmatrix} 0 & 2 & -1 \\ 1 & 1 & 4 \end{bmatrix}\; \; B=\begin{bmatrix} 5 & 1 & 0 \\ -1 & 4 & -1 \end{bmatrix}$

$A+B=\begin{bmatrix} (0)+(5) & (2)+(1) & (-1)+0 \\ (1)+(-1) & (1)+(4) &( 4)+(-1) \end{bmatrix}$

$A+B=\begin{bmatrix} 5 & 3 & -1 \\ 0 & 5 & 3 \end{bmatrix}$

.

3

Given:

$f(x)=8x+6 \; , if \;x\geq 0$

To find:

.

Value of f(-9)

When x<0 then

f(x)=x

$f(-9)=-9$

.

Value of f(0)

When $x\geq 0$ then

$f(x)=8x+6$

$f(0)=8(0)+6=6$

.

Value of f(4)

When $x\geq 0$ then

$f(x)=8x+6$

$f(4)=8(4)+6=38$

.

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