How to learn Julia Matrix Operation
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1.1 Generation of Matrix
Generate a matrix of 4 rows and 4 columns, using 1-16 numbers. Note that when you generate a matrix here, you need to define an empty array first, and then fill it.
Mat = Array (Int32,4,4)
4 × 4 Array {Int32,2}:
125804192 256236432 79364176 79364176
0 0 0
79234864 79266064 125805712 248775184
0 0 0
Mat [:] = 1:16
Mat
4 × 4 Array {Int32,2}:
1 5 9 13
2 6 10 14
3 7 11 15
4 8 12 16
You can also use reshape to build a matrix reshape (1)
3 × 5 Base.ReshapedArray {Int64,2,UnitRange {Int64}, Tuple {}}:
1 4 7 10 13
2 5 8 11 14
3 6 9 12 15
1.2 extract main diagonal diag (mat)
4-element Array {Int64,1}:
one
six
eleven
sixteen
1.3 generate a diagonal matrix eye (4) with a diagonal of 1
4 × 4 Array {Float64,2}:
1.0 0.0 0.0 0.0
0.0 1.0 0.0 0.0
0.0 0.0 1.0 0.0
0.0 0.0 0.0 1.0
1.4 extract the lower triangular tril (mat) of the matrix
4 × 4 Array {Int64,2}:
1 0 0 0
2 6 0 0
3 7 11 0
4 8 12 16
1.5 extract the upper triangle triu (mat) of the matrix
4 × 4 Array {Int64,2}:
1 5 9 13
0 6 10 14
0 0 11 15
0 0 0 16
1.6 Matrix transpose mat'
4 × 4 Array {Int64,2}:
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
1.7 Matrix multiplication a = [[1] [1] [2]
2 × 2 Array {Int64,2}:
1 2
3 4
B = [[2pr 4] [3pm 5]]
2 × 2 Array {Int64,2}:
2 3
4 5
Multiply the corresponding values
A. Roomb
2 × 2 Array {Int64,2}:
2 6
12 20
Matrix multiplication
Axib
2 × 2 Array {Int64,2}:
10 13
22 29
1.8 Matrix inverse inv (a)
2 × 2 Array {Float64,2}:
-2.0 1.0
1.5-0.5
Inv (a) * a
2 × 2 Array {Float64,2}:
1.0 0.0
2.22045e-16 1.0
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