# Matrix

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.

vCalc's Matrix library contains equations that help in computing matrices.

## Matrix Equations

• Inverse of a 3x3 Matrix
• Trace of 2X2 Matrix
• Trace of 3X3 Matrix
• Transpose of a 3x3 Matrix
• V3 - Vector Norm
• 4-Vector Norm
• 5-Vector Norm
• Characteristic Polynomial of a 2x2 Matrix
• Characteristic Polynomial of a 3x3 Matrix
• Cramer's Rule (three equations)
• Cramer's Rule (three equations, solved for x)
• Cramer's Rule (three equations, solved for y)
• Cramer's Rule (three equations, solved for z)
• Cramer's Rule (two equations)
• Cramer's Rule (two equations, solved for x)
• Cramer's Rule (two equations, solved for y)
• Determinant of 2X2 Matrix
• Determinant of 3-by-3 Matrix
• Determinant of a 2-by-2 Matrix
• Determinant of a 2x2 Matrix
• Determinant of a 3-by-3 Matrix
• Eigenvalues of a 2x2 Matrix
• Inverse of a 2x2 Matrix
• Inverse of a 3x3 Matrix
• Minor of a 3x3 Matrix
• Multiplication of a 2x2 Matrix by a 2x1 Matrix
• Multiplication of a 2x2 Matrix by a Scalar
• Multiplication of a 2x3 Matrix and a 3x2 Matrix
• Multiplication of a 3x3 Matrix and a 3x1 Matrix
• Multiplication of a 3x3 Matrix by a Scalar
• Row Echelon Form of a 3x3 Matrix
• row echelon test
• Trace of a 2x2 Matrix
• Trace of a 3x3 Matrix
• Vector Norm