Consider the matrices A andB given below. How many rows and how many columns does the product C = AB have? 0. 15 B = 19 64 A = 1 92 0. 0. Number of rows: Number of columns: The entries of the matrix C = AB are denoted Ciji where Cij denotes the entry in the ith and the th column. Insert below the values of the requested entries. C13 = C11 = C21 = C23 = C31 = C33 = Given that c32 = 59, find the value of k and hence find the sum of the entries of C. k =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.1: Matrices And Systems Of Equations
Problem 3ECP: Identify the elementary row operation performed to obtain the new row-equivalent matrix....
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Consider the matrices A and B given below. How many rows and how many columns does the product
C = AB have?
1
A = | 1 0
15
B =
0 19
92
64
0 k
Number of rows:
Number of columns:
The entries of the matrix C = AB are denoted cij, where c¡¡ denotes the entry in the ith and the jth column.
Cij
Insert below the values of the requested entries.
C13
C13 =
C11 =
C21
%3D
C23 =
С31
%3D
C33 =
Given that c32 = 59, find the value of k and hence find the sum of the entries of C.
%3D
k =
The sum of the entries of C is
Enter your answer as a fraction.
Check
Transcribed Image Text:Consider the matrices A and B given below. How many rows and how many columns does the product C = AB have? 1 A = | 1 0 15 B = 0 19 92 64 0 k Number of rows: Number of columns: The entries of the matrix C = AB are denoted cij, where c¡¡ denotes the entry in the ith and the jth column. Cij Insert below the values of the requested entries. C13 C13 = C11 = C21 %3D C23 = С31 %3D C33 = Given that c32 = 59, find the value of k and hence find the sum of the entries of C. %3D k = The sum of the entries of C is Enter your answer as a fraction. Check
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