Question 1

What matrix operations are supported?

Accepted Answer

Addition, subtraction, multiplication, scalar multiplication, transpose, determinant (square matrices), and inverse (square matrices with non-zero determinant). Matrices up to 6x6 are supported.

Question 2

Why does my matrix have no inverse?

Accepted Answer

A matrix is non-invertible (singular) when its determinant is zero. This means the rows or columns are linearly dependent. Only square matrices with non-zero determinants have inverses.

Question 3

What is the determinant used for?

Accepted Answer

The determinant tells you if a system of linear equations has a unique solution (non-zero determinant), no solution, or infinite solutions (zero determinant). It also represents the scaling factor of the linear transformation.

Question 4

How does matrix multiplication work?

Accepted Answer

Matrix A (m x n) multiplied by Matrix B (n x p) gives a result matrix (m x p). Each element is the dot product of the corresponding row from A and column from B. The number of columns in A must equal the number of rows in B.

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Matrix A

Matrix B

Result

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