Question

QUESTION 4 \begin{bmatrix} 1 & 2 & -1 & 2 & 1 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 & 1 \end{bmatrix} Let $A = \begin{bmatrix} 1 & 2 & -1 & 2 & 1 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 & 1 \end{bmatrix}$ be a row-echelon form of A. a) Find a basis of the nullspace of A. b) If $c_1, c_2, c_3, c_4, c_5$ are the column vectors of A, write $c_2$ and $c_5$ as linear combination of $c_1, c_3, c_4$.

          QUESTION 4
\begin{bmatrix} 1 & 2 & -1 & 2 & 1 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 & 1 \end{bmatrix}
Let $A = \begin{bmatrix} 1 & 2 & -1 & 2 & 1 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 & 1 \end{bmatrix}$ be a row-echelon form of A.
a) Find a basis of the nullspace of A.
b) If $c_1, c_2, c_3, c_4, c_5$ are the column vectors of A, write $c_2$ and $c_5$ as linear combination of $c_1, c_3, c_4$.

QUESTION 4

< b m a t r i x >

Let A =
< b m a t r i x > be a row-echelon form of A.
a) Find a basis of the nullspace of A.
b) If c1, c2, c3, c4, c5 are the column vectors of A, write c2 and c5 as linear combination of c1, c3, c4.

Added by Samuel D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/07/2023

Step 1

Let A = [1 2 -1 2 1 0 0 1 1 1 0 0 0 1 1], x = (x1, x2, x3, x4, x5)^T, and solve A x = 0. Show more…

Show all steps

Thanks for your feedback!

QUESTION 4 [1 2 -1 2 1] Let A' = [0 0 1 1 1] be a row-echelon form of A. [0 0 0 1 1] a) Find a basis of the nullspace of A. b) If C1, C2, C3, C4, C5 are the column vectors of A, write c2 and cs as linear combination of C1, C3, C4.