Find C - A + B
-$A = \left[ \begin{array} { r r } 5 & - 3 \ 6 & 6 \ 6 & \sqrt { 14 } \end{array} \right] , B = \left[ \begin{array} { r r } - 4 & 3 \ 6.5 & 1 \ \frac { 1 } { 3 } & \sqrt { 11 } \end{array} \right] , C = \left[ \begin{array} { l l } 3 & 2 \ 1 & - \frac { 1 } { 3 } \ 9 & 2 \end{array} \right]$

A) $\left[ \begin{array} { c c } - 3 & 10 \ 3.5 & - 6 \ - \frac { 8 } { 3 } & 2 + \sqrt { 2 } - \sqrt { 11 } \end{array} \right]$

B) $\left[ \begin{array} { c c } - 6 & 8 \ 1.5 & - \frac { 16 } { 3 } \ \frac { 10 } { 3 } & 2 - \sqrt { 14 } + \sqrt { 11 } \end{array} \right]$

C) $\left[ \begin{array} { c c } 6 & 14 \ 2 + \sqrt { 11 } & 9.6 \ 27 & - 2 \end{array} \right]$

D) $\left[ \begin{array} { c r } 17 & 3 \ 2 + \sqrt { 5 } & 4.2 \ 9 & \frac { 10 } { 3 } \end{array} \right]$

Question

Find C - A + B
-$A = \left[ \begin{array} { r r } 5 & - 3 \ 6 & 6 \ 6 & \sqrt { 14 } \end{array} \right] , B = \left[ \begin{array} { r r } - 4 & 3 \ 6.5 & 1 \ \frac { 1 } { 3 } & \sqrt { 11 } \end{array} \right] , C = \left[ \begin{array} { l l } 3 & 2 \ 1 & - \frac { 1 } { 3 } \ 9 & 2 \end{array} \right]$

A) $\left[ \begin{array} { c c } - 3 & 10 \ 3.5 & - 6 \ - \frac { 8 } { 3 } & 2 + \sqrt { 2 } - \sqrt { 11 } \end{array} \right]$

B) $\left[ \begin{array} { c c } - 6 & 8 \ 1.5 & - \frac { 16 } { 3 } \ \frac { 10 } { 3 } & 2 - \sqrt { 14 } + \sqrt { 11 } \end{array} \right]$

C) $\left[ \begin{array} { c c } 6 & 14 \ 2 + \sqrt { 11 } & 9.6 \ 27 & - 2 \end{array} \right]$

D) $\left[ \begin{array} { c r } 17 & 3 \ 2 + \sqrt { 5 } & 4.2 \ 9 & \frac { 10 } { 3 } \end{array} \right]$

Quizplus · Accepted Answer

To find $C - A + B$, we subtract matrix $A$ from $C$ and then add matrix $B$ to the result. This operation is performed element-wise:1. $C - A = \left[ \begin{array} { l l } 3-5 & 2-(-3) \ 1-6 & -\frac{1}{3}-6 \ 9-6 & 2-\sqrt{14} \end{array} \right] = \left[ \begin{array} { r r } -2 & 5 \ -5 & -\frac{19}{3} \ 3 & 2-\sqrt{14} \end{array} \right]$2. $\left[ \begin{array} { r r } -2 & 5 \ -5 & -\frac{19}{3} \ 3 & 2-\sqrt{14} \end{array} \right] + B = \left[ \begin{array} { r r } -2-4 & 5+3 \ -5+6.5 & -\frac{19}{3}+1 \ 3+\frac{1}{3} & 2-\sqrt{14}+\sqrt{11} \end{array} \right] = \left[ \begin{array} { c c } -6 & 8 \ 1.5 & -\frac{16}{3} \ \frac{10}{3} & 2-\sqrt{14}+\sqrt{11} \end{array} \right]$This matches option B.

Find C - a + B - A) [−3103.5−6−832+2−11]\left[ \begin{array} { c c } - 3 & 10 \\ 3.5 & - 6 \\ - \frac { 8 } { 3 } & 2 + \sqrt { 2 } - \sqrt { 11 } \end{array} \right]​−33.5−38​​10−62+2​−11​​​

Find C - a + B
- A) $\left[ \begin{array} { c c } - 3 & 10 \\ 3.5 & - 6 \\ - \frac { 8 } { 3 } & 2 + \sqrt { 2 } - \sqrt { 11 } \end{array} \right]$