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Chapter 7: Matrices and Determinants7.2 – Operations with MatricesMATRIX ADDITION170497530861000You can add two matrices (of the same order) by adding their corresponding entries.The sum of two matrices of different orders is undefined. Practice: 1. -1201+13-12=2. 01-2123+6-13-952=3. 1-32+-13-2=4. 21040-13-22+013-124=-----------------------------------------------------------------------------------------------------------------------------SCALAR MULTIPLICATIONIn operations with matrices, numbers are usually referred to as scalars. In this course, scalars will always be real numbers. You can multiply a matrix A by a scalar c by multiplying each entry in A by c.If =224-30-1212 , find 3A. 44767561658500The properties of matrix addition and scalar multiplication are similar to those of addition and multiplication of real numbers. Practice: If A=21-3416 and B=2-305-14 find the following. 1. A+B2. -A+2B3. 3A-2BSOLVING A MATRIX EQUATIONSolve for X in the equation 2X+A=B, whereA=1-203 and B=-3421Practice: Solve for X in the equation, 2X+3A=B, for the following matrices.A= -2-1103-4 and B= 0320-4-1MATRIX MULTIPLICATIONFor the product of two matrices to be defined, the number of columns of the first matrix must equal the number of rows of the second matrix. Find the product AB where:A=-134-250 and B=-32-41The product AB has the order ___________. ................
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