The values of the entries c 23 and c 12 for the matrix C = 2 A − 3 B where A = 1 − 1 1 2 2 1 0 − 4 1 and B = 2 0 5 0 4 0 3 0 7 . The values of the entries c 23 and c 12 is c 23 = 2 and c 12 = − 2 ¯ . The given matrices are A = 1 − 1 1 2 2 1 0 − 4 1 and B = 2 0 5 0 4 0 3 0 7 . Obtain the value of 2 A as shown below. 2 A = 2 1 − 1 1 2 2 1 0 − 4 1 = 2 − 2 2 4 4 2 0 − 8 2 Now, obtain the value of 3 B as follows. 3 B = 3 2 0 5 0 4 0 3 0 7 = 6 0 15 0 12 0 9 0 21 Therefore, calculate the value of C = 2 A − 3 B as shown below. C = 2 A − 3 B = 2 − 2 2 4 4 2 0 − 8 2 − 6 0 15 0 12 0 9 0 21 = − 4 − 2 − 13 4 − 8 2 − 9 − 8 − 19 It is known that, c 23 represents the element corresponding to the intersection of the second row and the third column of the matrix C and c 12 represents the element corresponding to the intersection of the first row and second column of the matrix C . Therefore, write the elements c 23 and c 12 from the matrix C as shown below. c 23 = 2 c 12 = − 2 Therefore, the required values are c 23 = 2 and c 12 = − 2 .

Advanced Engineering Mathematics

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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