According to given condition in the first part (a), Yes, we can construct a matrix
As the determinant of the matrix A is zero which is not invertible. But elements of matrix A from (
This shows that, the determinant of matrix A is 12 which is non- zero but itself matrix A is not invertible.
yes, the set of invertible matrices in
1)For any two matrices
Identity: There exist an identity element ꓲ should belong to the set of matrices
The existence of inverse: As the set of matrices
This shows that the set of invertible matrices in
Answer is given below (on video)
Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
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A(1, 0, -1), B(3, -2, 0), C(1, 3, 3)
Whether f is a function from Z to R if
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The solution set of is
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