1 / 11

Matrices and Determinants

Matrices and Determinants. Advanced Math Chapter 10. Matrices and Systems of Equations. Advanced Math 10.1. Column 1. Column 2. Row 1. Row 2. Row 3. Matrix. Rectangular array of real numbers Plural: matrices An m x n matrix has m rows and n columns Example: a 3 x 2 matrix.

micah-mercado
Download Presentation

Matrices and Determinants

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Matrices and Determinants Advanced Math Chapter 10

  2. Matrices and Systems of Equations Advanced Math 10.1

  3. Column 1 Column 2 Row 1 Row 2 Row 3 Matrix • Rectangular array of real numbers • Plural: matrices • An m x n matrix has m rows and n columns • Example: a 3 x 2 matrix Advanced Math 10.1

  4. Matrix entry • aij • Each number in the matrix • Has a double subscript to represent row i and column j • Example: a23 means the number in the second row, third column Advanced Math 10.1

  5. Matrix order • m x n • Number of rows x Number of columns Order: 2 x 2 Square matrix Order: 4 x 3 Order: 3 x 4 Advanced Math 10.1

  6. Row matrix • Has only 1 row Advanced Math 10.1

  7. Column matrix • Has only 1 column Advanced Math 10.1

  8. Matrices from a system of equations • Line up columns by variable with constant on the right • Don’t forget zeros Advanced Math 10.1

  9. Reduced row-echelon form • Any row of all zeros must be at the bottom • For all other rows, the first nonzero entry is 1 (called a leading 1) • For two successive (nonzero) rows, the leading 1 in the higher row is farther to the left than the leading 1 in the lower row • Every column that has a leading 1 has zeros in every position above and below its leading 1. Advanced Math 10.1

  10. Solving systems of equations • Enter augmented matrix into calculator • Use rref to find reduced row-echelon form Advanced Math 10.1

  11. You try • Solve Advanced Math 10.1

More Related