Identity Matrix In MATLAB

Introduction—

MATLABSolutions demonstrate In this task we are going to design The identity matrix is a fundamental concept in linear algebra, representing a square matrix with ones on its main diagonal and zeros elsewhere. It plays a crucial role in various mathematical operations, particularly in matrix multiplication, where it acts as the multiplicative identity. MATLAB, a powerful tool for numerical computation, provides simple and efficient ways to create and manipulate identity matrices.

Square Identity Matrix

Create a 4-by-4 identity matrix.

Create a 4-by-4 identity matrix.

I = eye(4)

I = 4×4

1     0     0     0
0     1     0     0
0     0     1     0
0     0     0     1

Rectangular Matrix

Create a 2-by-3 identity matrix.

I = eye(2,3)

I = 2×3

1     0     0
0     1     0

Nondefault Numeric Data Type

Create a 3-by-3 identity matrix whose elements are 32-bit unsigned integers.

I = eye(3,'uint32'),

I = 3x3 uint32 matrix

1   0   0
0   1   0
0   0   1

class(I)

ans = 
                          'uint32'

Complex Identity Matrix

Create a 2-by-2 identity matrix that is not real valued, but instead is complex like an existing array.

Define a complex vector.

p = [1+2i 3i];

Create an identity matrix that is complex like p.

I = eye(2,'like',p)

class(I)

I = 2×2 complex

1.0000 + 0.0000i   0.0000 + 0.0000i
0.0000 + 0.0000i   1.0000 + 0.0000i