- Thread starter
- #1

(b) what kind of geometry object is the null space and row space of your matrix

2. Prove that if a matrix A is not square, then either the row vectors or the column vectors of A are linearly dependent.

- Thread starter Swati
- Start date

- Thread starter
- #1

(b) what kind of geometry object is the null space and row space of your matrix

2. Prove that if a matrix A is not square, then either the row vectors or the column vectors of A are linearly dependent.

- Thread starter
- #3

- Mar 10, 2012

- 835

I assume that the entries of the matrices are reals.

(b) what kind of geometry object is the null space and row space of your matrix

2. Prove that if a matrix A is not square, then either the row vectors or the column vectors of A are linearly dependent.

Q2. Consider a 2x3 matrix. Let its row vectors be (a,b), (c,d),(e,f). So we got 3 vectors from $\mathbb{R}^2$. They have to be linearly dependent since dimension of $\mathbb{R}^2$ is 2. Can you generalize?

- Jan 26, 2012

- 66

More effort on your part is required. What have you tried and what don't you understand.we have to prove. please explain clearly.