Linear Algebra Examples

- 1 - 2 i

$- 1 - 2 i$

Step 1

Use the formula

| a + b i | = \sqrt{a^{2} + b^{2}}

$| a + b i | = \sqrt{a^{2} + b^{2}}$ to find the magnitude.

\sqrt{{(- 1)}^{2} + {(- 2)}^{2}}

$\sqrt{{(- 1)}^{2} + {(- 2)}^{2}}$

Step 2

Raise

- 1

$- 1$ to the power of

2

$2$ .

\sqrt{1 + {(- 2)}^{2}}

$\sqrt{1 + {(- 2)}^{2}}$

Step 3

Raise

- 2

$- 2$ to the power of

2

$2$ .

\sqrt{1 + 4}

$\sqrt{1 + 4}$

Step 4

Add

1

$1$ and

4

$4$ .

\sqrt{5}

$\sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\sqrt{5}

$\sqrt{5}$

Decimal Form:

2.23606797 \dots

$2.23606797 \dots$

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