1 / 8

Intro to Matrices

Intro to Matrices. What is a matrix?. A Matrix is just rectangular arrays of items A typical matrix is a rectangular array of numbers arranged in rows and columns. Sizing a matrix. By convention matrices are “sized” using the number of rows (m) by number of columns (n). “Special” Matrices.

varvara
Download Presentation

Intro to Matrices

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. Intro to Matrices

  2. What is a matrix? • A Matrix is just rectangular arrays of items • A typical matrix is a rectangular array of numbers arranged in rows and columns.

  3. Sizing a matrix • By convention matrices are “sized” using the number of rows (m) by number of columns (n).

  4. “Special” Matrices • Square matrix: a square matrix is an mxn matrix in which m = n. • Vector: a vector is an mxn matrix where either m OR n = 1 (but not both).

  5. “Special” Matrices • Scalar: a scalar is an mxn matrix where BOTH m and n = 1. • Zero matrix: an mxn matrix of zeros. • Identity Matrix: a square (mxm) matrix with 1s on the diagonal and zeros everywhere else.

  6. Transposing a Matrix • Matrix Transpose: is the mxn matrix obtained by interchanging the rows and columns of a matrix (converting it to an nxm matrix)

  7. Matrix Addition • Matrices can be added (or subtracted) as long as the 2 matrices are the same size • Simply add or subtract the corresponding components of each matrix.

  8. Scalar multipication • - Scalar multiplication works like the distributive property with algebraic expressions. • Given find 2A • =2A

More Related