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This article is about how to learn Julia matrix operation, the editor feels very practical, so share with you to learn, I hope you can get something after reading this article, say no more, follow the editor to have a look.

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

The above is how to learn Julia matrix operation, the editor believes that there are some knowledge points that we may see or use in our daily work. I hope you can learn more from this article. For more details, please follow the industry information channel.

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