The first row of V-T.
| 3 1| |4 -5 2|
V=| 0 2| T= |8 -1 3|
|-4 5|
a. [-1 -7]
b. [-7 3 2]
c. [-1 5 -6]
d. not possible
Unless V and T are matrices of the same rank, V - T has no meaning. That would make d. the answer.
It is hard to tell just what your matrices are because the numbers are not lined up properly. It looks to me like V is a 2 x 3 matrix and T is a 3 x 2 matrix. In other words, they are of different rank.
To determine the product of the first row of V with the first column of T (V-T):
1. Multiply the corresponding elements from the first row of V with the first column of T:
(-1)*4 + (-7)*8 + 3*2
2. Simplify the expression:
-4 - 56 + 6 = -54
The value of the product of the first row of V with the first column of T is -54.
Therefore, the correct answer is (d) not possible.
To find the first row of the matrix product V-T, you need to multiply the first row of matrix V by the transpose of matrix T.
The transpose of a matrix is obtained by interchanging its rows with columns.
Matrix V-T can be calculated as follows:
1. Take the first row of matrix V: [3 1]
2. Take the transpose of matrix T:
[ 4 -5 2]
[ 8 -1 3]
[ -4 5 0]
3. Multiply the first row of matrix V by the transpose of matrix T:
[ 3 1] * [ 4 -5 2] = [-1 -7]
Therefore, the correct answer is:
a. [-1 -7]