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Linear Algebra Examples
Step-by-Step Examples
Linear Algebra
Matrices
Simplify the Matrix
[
2
4
−
2
−
4
]
+
[
4
−
1
3
2
]
[
2
4
-
2
-
4
]
+
[
4
-
1
3
2
]
Step 1
Add the corresponding
elements
.
[
2
+
4
4
−
1
−
2
+
3
−
4
+
2
]
[
2
+
4
4
-
1
-
2
+
3
-
4
+
2
]
Step 2
Simplify each
element
.
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Step 2.1
Add
2
2
and
4
4
.
[
6
4
−
1
−
2
+
3
−
4
+
2
]
[
6
4
-
1
-
2
+
3
-
4
+
2
]
Step 2.2
Subtract
1
1
from
4
4
.
[
6
3
−
2
+
3
−
4
+
2
]
[
6
3
-
2
+
3
-
4
+
2
]
Step 2.3
Add
−
2
-
2
and
3
3
.
[
6
3
1
−
4
+
2
]
[
6
3
1
-
4
+
2
]
Step 2.4
Add
−
4
-
4
and
2
2
.
[
6
3
1
−
2
]
[
6
3
1
-
2
]
[
6
3
1
−
2
]
[
6
3
1
-
2
]
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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