MatLab Operators

Operators📈 Overview

• Arithmetic Operations
• Relational Operations
• Logical Operations
• Set Operations
• Bit-Wise Operations

Arithmetic Operators

+, -, *, /, ^, ()

Order of Operation

() > ^ > *, / > +-

Notes:

• A*b multiply all elements of A with scalar b

A^n

A to the power n

A.^n

Multiply Each Element of Vector by nth power

A.*B

Multiply Consecutive elements of Matrix A & B

Matrix multiplication (A*B )

Given two Matrix $A(mXn)$ & $B(nXo)$ then $A*B = C(m*o)$ matrix Where $C(i,j)= A(i,k)*B(k,j)$

Dot product/ Inner Product of Vector(A.B)

RowVector(1n) Column Vector(n1) = Scalar()11

Outer Product of Vector (A⊗B)

Column Vector(n1) RowVector(1n) = Matrix(nn)

RightDivide (./)

A./B : divide all elements of A with corresponding elements of B

A./b : divide all elements of A with vector b

Left Divide (.)

A.\B : divide all elements of B with corresponding elements of A

b.\B : divide all elements of B with vector b

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Relational Operators

<, > , <=, >=, ==, ~=

• A>B - return array of 1,0 by comparing each elements of A with B -A*b - return array of 1,0 by comparing each elements in A & b

Complex Numbers

• >, <, >= <= compare only the real part
• == , ~= test both real and imaginary parts.

Undefined values:

• Inf == other Inf values. -NaN ~= numeric value, including other NaN values.
• NaT ~= datetime value, including other NaT values.
• Undefined ~= any other categorical value, including other undefined elements.

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Logical Operators

• Assert: true, false
• Logic : |, &, ~, xor
• Short Circuit: ||, &&,
• Logical : islogical, logical
• find, all, any

  x = v1(v1<4 & v1>2)
  x = all value of v1 between 2 & 4

• L = logical(A) converts A into an array of logical values.
• Any nonzero element of A is converted to logical 1 (true) and zeros are converted to logical 0 (false).
• Complex values and NaNs cannot be converted to logical values and result in a conversion error.