determine whether the product is defined or undefined is defined give the dimensions of the product matrices [1 1 -4 5 6 0] [9 1 -7]
To determine whether the product of two matrices is defined or undefined, we need to check if the number of columns in the first matrix is equal to the number of rows in the second matrix.
The first matrix has 6 numbers, so it has 6 columns. The second matrix has 3 numbers, so it has 3 rows.
Since the number of columns in the first matrix (6) is not equal to the number of rows in the second matrix (3), the product of these two matrices is undefined.
To determine whether the product of two matrices is defined, we need to check that the number of columns in the first matrix is equal to the number of rows in the second matrix.
Let's consider the dimensions of the given matrices:
Matrix A: [1 1 -4 5 6 0]
[9 1 -7]
Matrix B: [9]
[1]
[-7]
Matrix A has 6 columns, and matrix B has 3 rows. Since the number of columns in A is not equal to the number of rows in B, the product of these matrices is not defined.
Therefore, the product of matrices A and B is undefined, and we cannot determine the dimensions of the product matrices.
To determine whether the product of two matrices is defined, we need to check if the number of columns in the first matrix is equal to the number of rows in the second matrix.
Let's denote the first matrix as A and the second matrix as B.
Matrix A has 1 row and 6 columns: A = [1 1 -4 5 6 0].
Matrix B has 3 rows and 1 column: B = [9 1 -7].
Since the number of columns in matrix A (6) is not equal to the number of rows in matrix B (3), the product AB is undefined.
Therefore, the product of the given matrices is undefined, and we cannot determine the dimensions of the product matrices.