Presentation on theme: "Adding & Subtracting Matrices"— Presentation transcript:
1 Adding & Subtracting Matrices Brought to you byTutorial Services – The Math Center
2 In this Workshop you will: MatricesIn this Workshop you will:Learn the definition of a matrix.Identify elements of a matrix.Learn how to add matrices.Learn how to subtract matrices.Learn how to solve variable expressions using addition and subtraction of matrices.
3 Definition of a MatrixA matrix is a rectangular or square array of elements arranged in rows and columns.Numbers in a matrix are called its entries or elements.NOTE: Entries may be numerical or variable expressions.
4 Elements of a Matrix amn= any element in row m and column n m= number of rowsn= number of columnsamn= any element in row m and column nm×n= dimension of a matrix
5 AdditionIf two or more matrices have the same order (same number of rows and columns) matrices may be added to their corresponding entries.
9 Variables in Matrices Use A + B = C to solve for x, y, and z. Solution:Add elements in matrix A with elements in Matrix BRewrite elements in matrix A+B as variable expressions
10 Each Element in Matrix A+B corresponds to an element in matrix C Each Element in Matrix A+B corresponds to an element in matrix C. Therefore, the solutions can be found by treating each element as a linear equation and solving for the indicated variable.NOTE: Once x and y are found, there is no need to use A21 +B21 = C21 to solve.A11+ B11 = C11A12+ B12 = C12A22+ B22 = C22