3.5 Perform Basic Matrix Operations

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3.5 Perform Basic Matrix Operations
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A Matrix

• Is a rectangular arrangement of elements in rows
  and columns.

The elements in a matrix are called its entries.

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For Example
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A square Matrix has the same number of rows and
columns.
A matrix whose entries are all zeros is called
the Zero Matrix.
Two matrices are equal if their dimensions are
the same and the entries in corresponding
positions are equal.
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Matrix A and matrix B are both 2 x 2 and have
the same elements in the same corresponding
entries, so they are equal.
No, they have different number of columns and
rows and different elements.
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In Matrix algebra, a real number is often called
a scalar. To multiply a matrix by a scalar, you
multiply each entry in the matrix by the scalar.
This process is called scalar multipliciation.
scalar
Solve the following problem involving matrices
6y-42
2x15
4 4
-1 -1
6y 6
2x 4
y 1
x 2
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We can do Matrix Arithmetic like ADDITION or
Subtraction
36
24
-27
510
8-4
6-2
7-7
2-10
Notice that matrices that are added or subtracted
have the same dimensions.