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Ses 2 matrix opt
1.
Matrix and Determinant
Operations
2.
3.
A matrix is
any doubly subscripted array of elements arranged in rows and columns.
4.
What is the
order? 3 x 3 3 x 5 2 x 2 4 x 1 1 x 4 (or square matrix) (Also called a row matrix) (or square matrix) (Also called a column matrix)
5.
Row Vector [1
x n] matrix
6.
Column Vector [m
x 1] matrix
7.
Identity Matrix Square
matrix with ones on the diagonal and zeros elsewhere.
8.
Transpose Matrix Rows
become columns and columns become rows
9.
10.
= = 7
7 4 5 0 7 5 7
11.
12.
= 5-2 -4-1
3-8 8-3 0-(-1) -7-1 1-(-4) 2-0 0-7 = 2 -5 -5 5 1 -8 5 3 -7
13.
14.
-2 6 -3
3 -2(-3) -5 -2(6) -2(-5) -2(3) 6 -6 -12 10
15.
Matrix Multiplication Matrices
A and B have these dimensions: [r x c] and [s x d]
16.
Matrix Multiplication Matrices
A and B can be multiplied if: [r x c ] and [ s x d] c = s
17.
Matrix Multiplication The
resulting matrix will have the dimensions: [ r x c] and [s x d ] r x d
18.
Multiplying Two Matrices
19.
20.
Determinants of a
three by three cross matrix
21.
Matrix Operations in
Excel Select the cells in which the answer will appear
22.
23.
Matrix Multiplication in
Excel Enter these three key strokes at the same time: control shift enter
24.
Multiplying Two Matrices
using Excel
25.
Thank you
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