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Overview A collection of numbers (called entries) contained within a pair of [ ] brackets is called a matrix. A matrix is labeled by a variable, which is usually a capitalized letter. In a sense, matrices are like sets of data, except that a matrix is made up of rows and columns of data as opposed to just one row of data. A matrix is defined by the numbers of rows it contains by the number of columns it contains (in that order). There are a large number of types and uses for matrices, but this introductory lesson focuses only on: addition subtraction scalar multiplication of matrices multiplying a matrix by another matrix How to Add Matrices How to Subtract Matrices How to Multiply Matrices Multiplying a Matrix by Another Matrix You can multiply a matrix by another matrix, but there are more steps involved than multiplying by the scalar. We can find the product of two matrices by finding the “dot products” of the corresponding rows and columns. To multiply matrices together, they do not have to have the same number of rows and columns, but the second matrix must have the same number of rows as the first has columns. This will create a matrix with the same number of rows as the first and the same number of columns as the second. Matrix Addition Practice Problems Matrix Subtraction Practice Problems Matrix Scalar Multiplication Practice Problems Matrix Dot Product Multiplication Practice Problems Matrix Multiplication Practice Problems Matrix Practice Problems Solutions
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