EI A= MATH 108- low Quiz 42 18 Points. Evaluate the following Problems below: Find A+B A-b $ 5 4 SED E E C = 6 2 肉 3 B = 2 3 -3 44 Find X 2 5 |× = ~½/₂2 12 6 6. 8 Find OCD @ dc F = -12 by 24 2 =20 Find y

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Quiz #2: 18 Points**

**MATH 108**

Evaluate the following problems below:

---

**Case I:**

\[ A = \begin{bmatrix} \frac{1}{2} & \frac{5}{3} \\ \frac{1}{5} & \frac{1}{4} \end{bmatrix} \]

\[ B = \begin{bmatrix} 2 & 3 \\ \frac{1}{5} & -3 \end{bmatrix} \]

1. Find \( A + B \)
2. Find \( A - B \)

---

**Case II:**

\[ C = \begin{bmatrix} \frac{1}{6} & \frac{1}{2} \\ \frac{1}{14} & 3 \end{bmatrix} \]

\[ D = \begin{bmatrix} 12 & 6 \\ 4 & 8 \end{bmatrix} \]

1. Find \( CD \)
2. Find \( DC \)

---

**Case III:**

\[ E = \begin{bmatrix} 2 & 5 \\ x & \frac{1}{4} \end{bmatrix} \]

Find \( x \) such that the determinant equals \(-\frac{1}{2}\).

\[ F = \begin{bmatrix} \frac{7}{12} & -\frac{1}{4} \\ y & 2 \end{bmatrix} \]

Find \( y \) such that the determinant equals 20.

---
Transcribed Image Text:**Quiz #2: 18 Points** **MATH 108** Evaluate the following problems below: --- **Case I:** \[ A = \begin{bmatrix} \frac{1}{2} & \frac{5}{3} \\ \frac{1}{5} & \frac{1}{4} \end{bmatrix} \] \[ B = \begin{bmatrix} 2 & 3 \\ \frac{1}{5} & -3 \end{bmatrix} \] 1. Find \( A + B \) 2. Find \( A - B \) --- **Case II:** \[ C = \begin{bmatrix} \frac{1}{6} & \frac{1}{2} \\ \frac{1}{14} & 3 \end{bmatrix} \] \[ D = \begin{bmatrix} 12 & 6 \\ 4 & 8 \end{bmatrix} \] 1. Find \( CD \) 2. Find \( DC \) --- **Case III:** \[ E = \begin{bmatrix} 2 & 5 \\ x & \frac{1}{4} \end{bmatrix} \] Find \( x \) such that the determinant equals \(-\frac{1}{2}\). \[ F = \begin{bmatrix} \frac{7}{12} & -\frac{1}{4} \\ y & 2 \end{bmatrix} \] Find \( y \) such that the determinant equals 20. ---
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