The matrix A has dimensions 3 x 4. The matrix B has dimensions 3 x 2 Give the dimensions of matrix C if AB=B
I believe you stated the problem incorrectly. Did you mean AB = C? or AC = B?
You have written nothing to help define C.
oops
Give the dimensions of matix C if AC =B
To find the dimensions of matrix C when AB=B, we need to consider the multiplication rules for matrices.
The rule for matrix multiplication states that for matrices A and B to be multipliable, the number of columns in A must be equal to the number of rows in B.
In this case, matrix A has dimensions 3 x 4, and matrix B has dimensions 3 x 2. The number of columns in A is 4, and the number of rows in B is also 3.
Since the number of columns in A (4) is equal to the number of rows in B (3), we can multiply these matrices.
When we multiply matrix A (3 x 4) by matrix B (3 x 2), the resulting matrix will have dimensions equal to the number of rows in A (3) by the number of columns in B (2).
Therefore, the dimensions of matrix C will be 3 x 2.