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Mastering Matrix Operations: A Practical Guide

Learn to model real-world data with matrices, understand their dimensions, and perform operations like addition, subtraction, scalar multiplication, and matrix multiplication with step-by-step examples. Enhance your skills in solving matrix equations efficiently.

michaelglenn
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Mastering Matrix Operations: A Practical Guide

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  1. 2.3 - Modeling real-world data with matrices

  2. Dimensions: (# rows) x (# columns) The Matrix • a rectangular array of terms element rows columns

  3. Equal matrices • two matrices are equal if and only if they have the same dimensions and are identical, element by element Find the values of x and y for which the matrix equation is true.

  4. Addition & subtraction of matrices • a sum or difference can only be found if the dimensions are equal Find A + B and A - B. If A= and B =

  5. i.e. (3 x 4) * (4 x 5) is possible your product will be a (3 x 5) matrix Scalar & matrix multiplication • scalar (real number) multiplication - finding the product of a scalar and a matrix • matrix multiplication - finding the product of two matrices. • only possible if the # of columns of the 1st matrix = # of rows of the 2nd matrix

  6. Find each product If A= B = and C = • AB • BC • 2A

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