Chapter 5: Q70. (page 228)

Evaluate each determinant $| \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} |$ .

Short Answer

Expert verified

The determinant of $| \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} | = 鈭� 6$ .

Step by step solution

Step 1. Write down the given information.

The given determinant to be evaluated is $| \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} |$ .

Step 2. Concept used.

The determinant of $| \begin{matrix} a & b \\ c & d \end{matrix} | = a d 鈭� b c$ .

Step 3. Calculation.

The determinant of $| \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} |$ is evaluated as: $\begin{matrix} | \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} | = (3 脳鈭� 2) 鈭� (2 脳 0) \\ = 鈭� 6 鈭� 0 \\ = 鈭� 6 \end{matrix}$

Step 4. Conclusion.

The determinant of $| \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} | = 鈭� 6$ .

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Evaluate each determinant $| \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} |$ .

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

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Evaluate each determinant|302鈭�2|.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

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Most popular questions from this chapter

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Evaluate each determinant $| \begin{matrix} 3 & 0 \\ 2 & 鈭� 2 \end{matrix} |$ .