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A Matrix is a rectangular array of mathematical elements: numbers, symbols or expressions, that can be combined to form sums and products with similar arrays having an appropriate number of rows and columns.

3x3 Matrix

2x2 Matrix

Matrix Multiplication

Determinant of a 2x2 Matrix

[Math| Linear Algebra| Matrix] This equation is used to find the determinant of a 2-by-2 matrix. To find the determinant of the 2-by-2 matrix you first multiply the elements from the top left to the bottom right corner and subtract the product from top right to the bottom left. The determinant is most often used to find the nature of solution of the system of linear equations defined by the matrix. This equation is only used for a 2-by-2 matrix, it cannot be used for matrices that are 3-by-3, 4-by-4, etc.

The **Multiplication of a 3x3 matrix (A) and 3x1 matrix (B)** calculator computes the resulting 1x3 matrix (**C**) of this matrix operation. * Matrix Multiplications *

The **Multiplication of a 2x3 Matrix by a 3x2 Matrix** calculator computes the resulting 2x2 matrix (**C**) produced by the matrix multiplication of 3x3 matrix **A** and 3x3 matrix **B**.

The **Multiplication of a 2x3 Matrix by a 2x1 Matrix** calculator computes the resulting 1x2 matrix (**C**) produced by the matrix multiplication of 2x2 matrix **A** and 2x1 matrix **B**.

The **Matrix Multiplication Calculator** performs the following matrix operation: