Monday, September 16, 2013

Matrices: Adding, Subtracting, and Solving for Missing Variables

Matrices order information into rows and columns. We always label matrices with a capital letter variable (such as, Matrix A). To add or subtract matrices, they must be the same size and shape. If there is a number in front of the matrix, such as 2A + B, we must first multiply everything in Matrix A by 2 before we add it to everything in Matrix B. Our answers should also be in the form of a matrix.

When solving for missing variables, we must set the element of the matrix with the variable equal to the number in the other matrix in the same corresponding position. This creates a new equation, which we can solve for the value of the variable.

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