Answer:
No
Step-by-step explanation:
A 5x8 matrix [tex]A[/tex] represents a linear transformation between the vector space [tex]\mathbb{R}^8[/tex] and [tex]\mathbb{R}^5[/tex]. Remeber that the columns of [tex]A[/tex] generate the image of the linear transformation, which is a vector subspace of [tex]\mathbb{R}^5[/tex]. Therefore, [tex]\dim \text{Col}A \leq 5[/tex], which is the dimension of the the total space.
