Question

Let A be an n by n matrix, with real valued entries. Suppose that A is...

Let A be an n by n matrix, with real valued entries. Suppose that A is NOT invertible.

Which of the following statements are true?

?Select ALL correct answers.?

The columns of A are linearly dependent.

The linear transformation given by A is one-to-one.

The columns of A span Rn.

The linear transformation given by A is onto Rn.

There is no n by n matrix D such that AD=In.

None of the above.

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