Consider the matrices A and B given below. How many rows and how many columns does the product C = AB have? 0. A = 49 B = 47 17 62 |0 k Number of rows: Number of columns: The entries of the matrix C = AB are denoted where denotes the entry in the ith and the jth column. Ciji Cij Insert below the values of the requested entries. C13 = C11 = C21 = C23 = C31 = C33 = Given that c32 = 22, find the value of k and hence find the sum of the entries of C. k = The sum of the entries of C is Enter your answer as a fraction.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.77TI: Perform the indicated operations on the augmented matrix: (a) Interchange rows 1 and 3. (b) Multiply...
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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?
ГО
1
A = | 1
49
0 |, B =
0 47 0
0 17 0 62
0 k
Number of rows:
Number of columns:
The entries of the matrix C = AB are denoted
Cij, where cii
denotes the entry in the ith and the jth column.
Insert below the values of the requested entries.
C13 =
C11 =
C21 =
C23 =
C31 =
C33 =
Given that c32 = 22, find the value of k and hence find the sum of the entries of C.
%3D
The sum of the entries of C is
Enter your answer as a fraction.
Transcribed Image Text:Consider the matrices A and B given below. How many rows and how many columns does the product C = AB have? ГО 1 A = | 1 49 0 |, B = 0 47 0 0 17 0 62 0 k Number of rows: Number of columns: The entries of the matrix C = AB are denoted Cij, where cii denotes the entry in the ith and the jth column. Insert below the values of the requested entries. C13 = C11 = C21 = C23 = C31 = C33 = Given that c32 = 22, find the value of k and hence find the sum of the entries of C. %3D The sum of the entries of C is Enter your answer as a fraction.
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