Perform the matrix multiplication: [3 1; 4 2] * [2 0; 1 3]. a. [7 3; 10 6] b. [5 3; 10 6] c. [7 1; 10 4] d. [3 1; 4 2]
Question
Perform the matrix multiplication: [3 1; 4 2] * [2 0; 1 3].
a. [7 3; 10 6]
b. [5 3; 10 6]
c. [7 1; 10 4]
d. [3 1; 4 2]
Solution
The matrix multiplication is performed as follows:
First, we multiply the elements of the first row of the first matrix by the elements of the first column of the second matrix and add them together:
(32) + (11) = 6 + 1 = 7
Then, we multiply the elements of the first row of the first matrix by the elements of the second column of the second matrix and add them together:
(30) + (13) = 0 + 3 = 3
Next, we multiply the elements of the second row of the first matrix by the elements of the first column of the second matrix and add them together:
(42) + (21) = 8 + 2 = 10
Finally, we multiply the elements of the second row of the first matrix by the elements of the second column of the second matrix and add them together:
(40) + (23) = 0 + 6 = 6
So, the result of the matrix multiplication is:
[7 3; 10 6]
Therefore, the correct answer is (a). [7 3; 10 6]
Similar Questions
Matrix A has 3 rows and 2 columns. Matrix multiplication AB cannot be done if matrix B hasa.2 rows and 1 columnb.2 rows and 3 columnsc.3 rows and 3 columnsd.2 rows and 4 columns
If matrix C = [[4, 3], [6, 3]], what is the transpose of C?a.[[4, 3], [3, 6]]b.[[3, 4], [6, 3]]c.[[4, 6], [3, 4]]d.[[4, 6], [3, 3]]
The matrix AB is:a.First row [0 7 -7], second row [1 4 7] and third row [2 -1 3]b.First row [-1 7 7], second row [10 17 8] and third row [2 -3 3]c.First row [-1 0 1], second row [0 1 -8] and third row [-4 -3 3]d.First row [4 0 1], second row [1 1 8] and third row [2 -3 3]
What is the value of C after the following MATLAB command?A = [ 1 2 ];B = [ 3 4 ];C = [ A' [ B; B] ]';Question 15Select one:a.[ 1 2; 3 4; 3 4]b.[ 1 3 3; 2 4 4]c.[ 1 3 4; 2 3 4]d.[ 1 2; 3 3; 4 4]e.None of the above
The matrix A transpose is:a.First row [-1 3 2], second row [0 4 1] and third row [1 2 5]b.First row [1 0 1], second row [0 1 0] and third row [0 0 1]c.First row [1 0 1], second row [0 -3 5] and third row [2 4 -5]d.First row [-1 0 1], second row [3 4 2] and third row [2 1 5]
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.