Hi! I need help with these two questions. Thanks! :)
1.) Can we multiply the Matrix A (which is 3 x 4 matrix) by the other matrix, Matrix B (which is 3 x 4 matrix)?
True Or False?
2.) When we multiply the 6 x 3 matrix by the 3 x 1 matrix, the final matrix would be in what order? Put your final answer as m x n.
false
6x1
You can only multiply two matrices if the columns of the 1st are the same as the rows of the second. That is, the dimensions must be of the form
axb and bxc
a and c may be anything, but the b's must match. The result is axc.
Hello! I'm here to help you with your questions. Let's start with the first one.
1.) Can we multiply the Matrix A (which is 3 x 4 matrix) by the other matrix, Matrix B (which is 3 x 4 matrix)?
To multiply two matrices, the number of columns in the first matrix should be equal to the number of rows in the second matrix. In this case, Matrix A has 4 columns and Matrix B also has 4 columns. Since the number of columns does not match, we cannot multiply these two matrices. Therefore, the answer is False.
Now let's move on to the second question.
2.) When we multiply the 6 x 3 matrix by the 3 x 1 matrix, the final matrix would be in what order? Put your final answer as m x n.
When we multiply a matrix with dimensions m x n by another matrix with dimensions n x k, the resulting matrix will have dimensions m x k. In this case, the first matrix is 6 x 3 and the second matrix is 3 x 1. Applying the rule, the resulting matrix will have dimensions 6 x 1.
So, the final answer is 6 x 1.
I hope that helps! Let me know if you have any more questions.
x+2y+z=1
-x+y+2=6
4x-y+3z=-1