'Variable matrix' presentation slideshows

Matrices

Matrices. Matrix - A rectangular array of variables or constants in horizontal rows and vertical columns enclosed in brackets. Element - Each value in a matrix; either a number or a constant. Dimension - Number of rows by number of columns of a matrix.

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4.4 & 4.5 Notes

4.4 & 4.5 Notes. Identity Matrices. Remember :. Identity Matrices :. If the product of two matrices equal the identity matrix then they are inverses. IDENTITY MATRIX PROOF. a = (-3)(1) + (4)(0) = -3 b = (-3)(0) + (4)(1) = 4 c = (-2)(1) + (6)(0) = -2 d = (-2)(0) + (6)(1) = 6.

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Warm-Up

Warm-Up. Solve the following system of equations:. Reduced Row Echelon Form (RREF). Learning Targets. Possible solutions for a system The differences between RREF and Inverse Multiplication Using Reduced Row Echelon Form to solve systems. Quick Recap.

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Matrix Algebra

Operations with matrices.

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Solving Systems of Equations with Matrices

Solving Systems of Equations with Matrices. A system of equations may be represented as a matrix equation. For example, the system of equations. may be represented by the matrix equation. Write the matrix equation that represents the system:.

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1.10 and 1.11

1.10 and 1.11. Quiz 1.10-1.11 : Friday Matrices Test : Oct. 20. Determinants. Associated with each square matrix (n x n) is a real number called its determinant . The determinant of matrix A is denoted by det A or by |A|. Determinant of a 2 x 2 matrix:. Determinant of a 3 x 3 matrix:.

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Lesson 13-4: Multiplying Matrices

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2 r 1 + r 2

If A has an inverse we say that A is nonsingular . If A -1 does not exist we say A is singular.

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