Linear Algebra Examples

$[\begin{array}{c} 2.63 & 4.42 & 6.38 & 9.18 \\ 1.71 & 2.75 & 4.68 & 6.94 \\ 0.95 & 0.76 & 0.65 & 0.56 \end{array}] - [\begin{array}{c} 1.48 & 1.71 & 1.81 & 3.28 \\ 1.15 & 1.46 & 2.76 & 2.37 \\ 0.41 & 0.35 & 0.28 & 0.49 \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} 2.63 - 1.48 & 4.42 - 1.71 & 6.38 - 1.81 & 9.18 - 3.28 \\ 1.71 - 1.15 & 2.75 - 1.46 & 4.68 - 2.76 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Subtract $1.48$ from $2.63$ .

$[\begin{array}{c} 1.15 & 4.42 - 1.71 & 6.38 - 1.81 & 9.18 - 3.28 \\ 1.71 - 1.15 & 2.75 - 1.46 & 4.68 - 2.76 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.2

Subtract $1.71$ from $4.42$ .

$[\begin{array}{c} 1.15 & 2.71 & 6.38 - 1.81 & 9.18 - 3.28 \\ 1.71 - 1.15 & 2.75 - 1.46 & 4.68 - 2.76 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.3

Subtract $1.81$ from $6.38$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 9.18 - 3.28 \\ 1.71 - 1.15 & 2.75 - 1.46 & 4.68 - 2.76 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.4

Subtract $3.28$ from $9.18$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 1.71 - 1.15 & 2.75 - 1.46 & 4.68 - 2.76 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.5

Subtract $1.15$ from $1.71$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 2.75 - 1.46 & 4.68 - 2.76 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.6

Subtract $1.46$ from $2.75$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 1.29 & 4.68 - 2.76 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.7

Subtract $2.76$ from $4.68$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 1.29 & 1.92 & 6.94 - 2.37 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.8

Subtract $2.37$ from $6.94$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 1.29 & 1.92 & 4.57 \\ 0.95 - 0.41 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.9

Subtract $0.41$ from $0.95$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 1.29 & 1.92 & 4.57 \\ 0.54 & 0.76 - 0.35 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.10

Subtract $0.35$ from $0.76$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 1.29 & 1.92 & 4.57 \\ 0.54 & 0.41 & 0.65 - 0.28 & 0.56 - 0.49 \end{array}]$

Step 2.11

Subtract $0.28$ from $0.65$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 1.29 & 1.92 & 4.57 \\ 0.54 & 0.41 & 0.37 & 0.56 - 0.49 \end{array}]$

Step 2.12

Subtract $0.49$ from $0.56$ .

$[\begin{array}{c} 1.15 & 2.71 & 4.57 & 5.9 \\ 0.56 & 1.29 & 1.92 & 4.57 \\ 0.54 & 0.41 & 0.37 & 0.07 \end{array}]$