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This algebra 2 math tutorial from NutshellMath offers targeted homework help on multiplying matrices. The instruction is focused on problems 1-10 on pages 777 and 778 of the Algebra and Trigonometry: Structure and Method text from McDougal Littell/Houghton Mifflin.
Matrices are algebraic tools used to manipulate sets of data. Because of their unique multiple dimensions, matrices are not as simple to multiply as scalars, and it is not possible to multiply any two matrices together in any order. The first step in multiplying matrices is to determine if the two can be multiplied together. For two matrices to be multiplied together, the number of columns in the first matrix must equal the number of rows in the second matrix. If these two dimensions are not equal, the matrices cannot be multiplied together in that order. If two matrices can be multiplied together, the answer matrix will have the same number of rows as the first product matrix and the same number of columns as the second product matrix.
Once the dimensions of answer matrix have been determined it is possible to multiply the two products together. Each element of the product matrix will be equal to the sum of the products of the successive elements of the corresponding row of the first product matrix and the corresponding column of the second product matrix. Thus the first row, first column entry of the answer matrix will be the sum of the products of the successive elements of the first row of the first product matrix and the first column of the second product matrix. Repeating this multiplication for all the elements of the answer matrix will yield the final product. While this process can seem rather complicated initially, the examples in this tutorial will clarify the process of matrix multiplication.
Homework problems covered by this tutorial involve multiplication of two matrices. Such operations are integral to working with matrices, and this tutorial provides a strong background to working with matrix multiplication in a variety of homework problems.
This algebra 2 math tutorial from NutshellMath offers targeted homework help on multiplying matrices. The instruction is focused on problems 1-10 on pages 777 and 778 of the Algebra and Trigonometry: Structure and Method text from McDougal Littell/Houghton Mifflin.
Matrices are algebraic tools used to manipulate sets of data. Because of their unique multiple dimensions, matrices are not as simple to multiply as scalars, and it is not possible to multiply any two matrices together in any order. The first step in multiplying matrices is to determine if the two can be multiplied together. For two matrices to be multiplied together, the number of columns in the first matrix must equal the number of rows in the second matrix. If these two dimensions are not equal, the matrices cannot be multiplied together in that order. If two matrices can be multiplied together, the answer matrix will have the same number of rows as the first product matrix and the same number of columns as the second product matrix.
Once the dimensions of answer matrix have been determined it is possible to multiply the two products together. Each element of the product matrix will be equal to the sum of the products of the successive elements of the corresponding row of the first product matrix and the corresponding column of the second product matrix. Thus the first row, first column entry of the answer matrix will be the sum of the products of the successive elements of the first row of the first product matrix and the first column of the second product matrix. Repeating this multiplication for all the elements of the answer matrix will yield the final product. While this process can seem rather complicated initially, the examples in this tutorial will clarify the process of matrix multiplication.
Homework problems covered by this tutorial involve multiplication of two matrices. Such operations are integral to working with matrices, and this tutorial provides a strong background to working with matrix multiplication in a variety of homework problems.