[Linear Algebra] Properties of the Matrix-Vector Equation

We prove the properties of the matrix-vector equation.

#LinearAlgebra #Algebra #UniversityMath #Lecture

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We learn a new method for matrix-vector multiplication and talk about the identity matrix.

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[juniorcyans]

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[ronnysanjaya]

Thank you hope to add my understanding .

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[blaisemwamba]

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[mohammadamanalimyzada]

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[Ali_Pxll]

I tried to prove these properties by substituting values with numbers,
but I found it takes a lot of time since there are additions and multiplications
The way you made it is much smarter and more practical 👏

[saeed]

If you multiply an identity matrix of dimension n (i.e. nXn) with a matrix "A" of dimension nXm, it will still give back A, as long as there are n rows in A. Columns can vary.

[kiranchowdary]

Can you explain With one example with numbers ?

[adeelali]

You said first the A = MxN matrix and then you only used 1 x n?