Linear Algebra Examples

[\begin{matrix} \frac{1}{\sqrt{17}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{1}{\sqrt{17}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 1

Multiply

\frac{1}{\sqrt{17}}

$\frac{1}{\sqrt{17}}$ by

\frac{\sqrt{17}}{\sqrt{17}}

$\frac{\sqrt{17}}{\sqrt{17}}$ .

[\begin{matrix} \frac{1}{\sqrt{17}} \cdot \frac{\sqrt{17}}{\sqrt{17}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{1}{\sqrt{17}} \cdot \frac{\sqrt{17}}{\sqrt{17}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2

Combine and simplify the denominator.

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Step 2.1

Multiply

\frac{1}{\sqrt{17}}

$\frac{1}{\sqrt{17}}$ by

\frac{\sqrt{17}}{\sqrt{17}}

$\frac{\sqrt{17}}{\sqrt{17}}$ .

[\begin{matrix} \frac{\sqrt{17}}{\sqrt{17} \sqrt{17}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{\sqrt{17} \sqrt{17}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.2

Raise

\sqrt{17}

$\sqrt{17}$ to the power of

1

$1$ .

[\begin{matrix} \frac{\sqrt{17}}{{\sqrt{17}}^{1} \sqrt{17}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{1} \sqrt{17}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.3

Raise

\sqrt{17}

$\sqrt{17}$ to the power of

1

$1$ .

[\begin{matrix} \frac{\sqrt{17}}{{\sqrt{17}}^{1} {\sqrt{17}}^{1}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{1} {\sqrt{17}}^{1}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.4

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

[\begin{matrix} \frac{\sqrt{17}}{{\sqrt{17}}^{1 + 1}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{1 + 1}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.5

Add

1

$1$ and

1

$1$ .

[\begin{matrix} \frac{\sqrt{17}}{{\sqrt{17}}^{2}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{2}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.6

Rewrite

{\sqrt{17}}^{2}

${\sqrt{17}}^{2}$ as

17

$17$ .

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Step 2.6.1

Use

\sqrt[n]{a^{x}} = a^{\frac{x}{n}}

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

\sqrt{17}

$\sqrt{17}$ as

17^{\frac{1}{2}}

$17^{\frac{1}{2}}$ .

[\begin{matrix} \frac{\sqrt{17}}{{(17^{\frac{1}{2}})}^{2}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{{(17^{\frac{1}{2}})}^{2}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.6.2

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

[\begin{matrix} \frac{\sqrt{17}}{17^{\frac{1}{2} \cdot 2}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{17^{\frac{1}{2} \cdot 2}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.6.3

Combine

\frac{1}{2}

$\frac{1}{2}$ and

2

$2$ .

[\begin{matrix} \frac{\sqrt{17}}{17^{\frac{2}{2}}} & - \frac{4}{\sqrt{17}} \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} \frac{1}{\sqrt{17}} - \frac{4}{\sqrt{17}} \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} \frac{\sqrt{17}}{17^{\frac{2}{2}}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.6.4

Cancel the common factor of

2

$2$ .

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Step 2.6.4.1

Cancel the common factor.

$[\begin{array}{c} \frac{\sqrt{17}}{17^{\frac{2}{2}}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.6.4.2

Rewrite the expression.

$[\begin{array}{c} \frac{\sqrt{17}}{17^{1}} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 2.6.5

Evaluate the exponent.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4}{\sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 3

Multiply

$\frac{4}{\sqrt{17}}$ by

$\frac{\sqrt{17}}{\sqrt{17}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - (\frac{4}{\sqrt{17}} \cdot \frac{\sqrt{17}}{\sqrt{17}}) \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4

Combine and simplify the denominator.

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Step 4.1

Multiply

$\frac{4}{\sqrt{17}}$ by

$\frac{\sqrt{17}}{\sqrt{17}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{\sqrt{17} \sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.2

Raise

$\sqrt{17}$ to the power of

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{{\sqrt{17}}^{1} \sqrt{17}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.3

Raise

$\sqrt{17}$ to the power of

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{{\sqrt{17}}^{1} {\sqrt{17}}^{1}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.4

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{{\sqrt{17}}^{1 + 1}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.5

Add

$1$ and

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{{\sqrt{17}}^{2}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.6

Rewrite

${\sqrt{17}}^{2}$ as

$17$ .

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Step 4.6.1

Use

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

$\sqrt{17}$ as

$17^{\frac{1}{2}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{{(17^{\frac{1}{2}})}^{2}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.6.2

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17^{\frac{1}{2} \cdot 2}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.6.3

Combine

$\frac{1}{2}$ and

$2$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17^{\frac{2}{2}}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.6.4

Cancel the common factor of

$2$ .

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Step 4.6.4.1

Cancel the common factor.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17^{\frac{2}{2}}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.6.4.2

Rewrite the expression.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17^{1}} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 4.6.5

Evaluate the exponent.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 5

Multiply

$\frac{1}{\sqrt{17}}$ by

$\frac{\sqrt{17}}{\sqrt{17}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{1}{\sqrt{17}} \cdot \frac{\sqrt{17}}{\sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6

Combine and simplify the denominator.

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Step 6.1

Multiply

$\frac{1}{\sqrt{17}}$ by

$\frac{\sqrt{17}}{\sqrt{17}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{\sqrt{17} \sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.2

Raise

$\sqrt{17}$ to the power of

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{1} \sqrt{17}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.3

Raise

$\sqrt{17}$ to the power of

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{1} {\sqrt{17}}^{1}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.4

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{1 + 1}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.5

Add

$1$ and

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{{\sqrt{17}}^{2}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.6

Rewrite

${\sqrt{17}}^{2}$ as

$17$ .

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Step 6.6.1

Use

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

$\sqrt{17}$ as

$17^{\frac{1}{2}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{{(17^{\frac{1}{2}})}^{2}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.6.2

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17^{\frac{1}{2} \cdot 2}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.6.3

Combine

$\frac{1}{2}$ and

$2$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17^{\frac{2}{2}}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.6.4

Cancel the common factor of

$2$ .

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Step 6.6.4.1

Cancel the common factor.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17^{\frac{2}{2}}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.6.4.2

Rewrite the expression.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17^{1}} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 6.6.5

Evaluate the exponent.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4}{\sqrt{17}} \end{array}]$

Step 7

Multiply

$\frac{4}{\sqrt{17}}$ by

$\frac{\sqrt{17}}{\sqrt{17}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - (\frac{4}{\sqrt{17}} \cdot \frac{\sqrt{17}}{\sqrt{17}}) \end{array}]$

Step 8

Combine and simplify the denominator.

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Step 8.1

Multiply

$\frac{4}{\sqrt{17}}$ by

$\frac{\sqrt{17}}{\sqrt{17}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{\sqrt{17} \sqrt{17}} \end{array}]$

Step 8.2

Raise

$\sqrt{17}$ to the power of

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{{\sqrt{17}}^{1} \sqrt{17}} \end{array}]$

Step 8.3

Raise

$\sqrt{17}$ to the power of

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{{\sqrt{17}}^{1} {\sqrt{17}}^{1}} \end{array}]$

Step 8.4

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{{\sqrt{17}}^{1 + 1}} \end{array}]$

Step 8.5

Add

$1$ and

$1$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{{\sqrt{17}}^{2}} \end{array}]$

Step 8.6

Rewrite

${\sqrt{17}}^{2}$ as

$17$ .

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Step 8.6.1

Use

$\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite

$\sqrt{17}$ as

$17^{\frac{1}{2}}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{{(17^{\frac{1}{2}})}^{2}} \end{array}]$

Step 8.6.2

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{17^{\frac{1}{2} \cdot 2}} \end{array}]$

Step 8.6.3

Combine

$\frac{1}{2}$ and

$2$ .

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{17^{\frac{2}{2}}} \end{array}]$

Step 8.6.4

Cancel the common factor of

$2$ .

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Step 8.6.4.1

Cancel the common factor.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{17^{\frac{2}{2}}} \end{array}]$

Step 8.6.4.2

Rewrite the expression.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{17^{1}} \end{array}]$

Step 8.6.5

Evaluate the exponent.

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{17} \end{array}]$

Step 9

Multiply

$[\begin{array}{c} \frac{\sqrt{17}}{17} & - \frac{4 \sqrt{17}}{17} \end{array}] [\begin{array}{c} \frac{\sqrt{17}}{17} \\ - \frac{4 \sqrt{17}}{17} \end{array}]$ .

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Step 9.1

Two matrices can be multiplied if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix. In this case, the first matrix is

$1 \times 2$ and the second matrix is

$2 \times 1$ .

Step 9.2

Multiply each row in the first matrix by each column in the second matrix.

$[\begin{array}{c} \frac{\sqrt{17}}{17} \cdot \frac{\sqrt{17}}{17} - \frac{4 \sqrt{17}}{17} (- \frac{4 \sqrt{17}}{17}) \end{array}]$

Step 9.3

Simplify each element of the matrix by multiplying out all the expressions.

$[\begin{array}{c} 1 \end{array}]$