Where is your problem statement? What is A? What is B? I can see you have the two-dimension identity matrix in your first product, but what is the significance of the vector <2, 3> in the second product? Without knowing anything about A and B and without a clear statement of the problem it's impossible to provide you with any help.k8thegr8 said:Homework Statement
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This is a seemingly simple problem. All I have to do is multiply two matrices:
Whatk8thegr8 said:[ 1 0 ]
[ 0 1 ] (A)
and
[ 2 ]
[ 3 ] (B)
The Attempt at a Solution
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Because the matrix A has the same number of columns as matrix B has rows, and because matrix A is an identity matrix, I would expect the answer to just be matrix B. But the back of the book says the answer does not exist which boggles me. Can anyone share any useful insight?
An identity matrix is a special type of square matrix that has 1s on the main diagonal and 0s everywhere else. It is denoted by the symbol I and has the property that when multiplied by any other matrix, the result is the original matrix.
A column vector is a matrix with only one column. It is often used to represent data or variables in a system of equations.
Multiplying an identity matrix by a column vector is important because it allows us to easily transform or scale the vector without changing its direction. This is useful in various mathematical and scientific applications, such as linear transformations and solving systems of equations.
To multiply an identity matrix by a column vector, simply multiply each element in the vector by the corresponding element on the main diagonal of the identity matrix. The resulting vector will be the same as the original vector, but scaled by the values on the main diagonal of the identity matrix.
The result of multiplying an identity matrix by a column vector is the same vector, but scaled by the values on the main diagonal of the identity matrix. In other words, the direction of the vector remains unchanged, but its magnitude may be altered.