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Let A be a 3 x 5 matrix. If dim(null(A))=2, then the dimension of the column space of A isSelect one:a. 3b. 1c. 2d. None of the other choices is correct

Question

Let A be a 3 x 5 matrix. If dim(null(A))=2, then the dimension of the column space of A isSelect one:a. 3b. 1c. 2d. None of the other choices is correct
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Solution 1

The dimension of the column space of a matrix is also known as the rank of the matrix. The Rank-Nullity Theorem states that the rank of a matrix plus the dimension of its null space is equal to the number of columns in the matrix.

In this case, we are given that the matrix A is a 3 x 5 matrix, mea Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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