22. LetA = bmatrix 1 & 3 & 2 & 0 & 1 \ 0 & 0 & 4 & 4 & 4 \ 0 & 0 & 1 & 1 & 1 \ 0 & 0 & 2 & 2 & 2 bmatrixWhat is the dimension of the null space of the matrix A?(AB) 1; (AC) 2; (AD) 3; (AE) 4; (BC) 5; (BD) 6; (BE) 7; (CD) 8; (CE) 9; (DE) 0.

23. Let $\mathbf{u}1 = \begin{bmatrix} 2 \\ 1 \end{bmatrix}, \mathbf{u}2 = \begin{bmatrix} 7 \\ 4 \end{bmatrix}$, and $\mathbf{v}1 = \begin{bmatrix} 7 \\ 5 \end{bmatrix}, \mathbf{v}2 = \begin{bmatrix} 4 \\ 3 \end{bmatrix}$. Which of the following is the transition matrix from the basis $\{\mathbf{v}1, \mathbf{v}2\}$ to the basis $\{\mathbf{u}1, \mathbf{u}2\}$?(AB) $\begin{bmatrix} 4 & -7 \\ -1 & 2 \end{bmatrix} \begin{bmatrix} 7 & 4 \\ 5 & 3 \end{bmatrix}$; (AC) $\begin{bmatrix} 2 & 7 \\ 1 & 4 \end{bmatrix} \begin{bmatrix} 7 & 4 \\ 5 & 3 \end{bmatrix}$; (AD) $\begin{bmatrix} 3 & -4 \\ -5 & 7 \end{bmatrix} \begin{bmatrix} 2 & 7 \\ 1 & 4 \end{bmatrix}$; (AE) $\begin{bmatrix} 7 & 4 \\ 5 & 3 \end{bmatrix} \begin{bmatrix} 2 & 7 \\ 1 & 4 \end{bmatrix}$;(BC) $\begin{bmatrix} 4 & -7 \\ -1 & 2 \end{bmatrix} \begin{bmatrix} 3 & -4 \\ -5 & 7 \end{bmatrix}$; (BD) $\begin{bmatrix} 2 & 7 \\ 1 & 4 \end{bmatrix} \begin{bmatrix} 3 & -4 \\ -5 & 7 \end{bmatrix}$; (BE) $\begin{bmatrix} 3 & -4 \\ -5 & 7 \end{bmatrix} \begin{bmatrix} 4 & -7 \\ -1 & 2 \end{bmatrix}$; (CD) $\begin{bmatrix} 7 & 4 \\ 5 & 3 \end{bmatrix} \begin{bmatrix} 4 & -7 \\ -1 & 2 \end{bmatrix}$.

22. Let

$$\mathbf{A} = \begin{bmatrix} 1 & 3 & 2 & 0 & 1 \\ 0 & 0 & 4 & 4 & 4 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 2 & 2 & 2 \end{bmatrix}$$

What is the dimension of the null space of the matrix A?

(AB) 1; (AC) 2; (AD) 3; (AE) 4; (BC) 5; (BD) 6; (BE) 7; (CD) 8; (CE) 9; (DE) 0.

相關試題

相關試卷

22. Let$$\mathbf{A} = \begin{bmatrix} 1 & 3 & 2 & 0 & 1 \\ 0 & 0 & 4 & 4 & 4 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 2 & 2 & 2 \end{bmatrix}$$What is the dimension of the null space of the matrix A?(AB) 1; (AC) 2; (AD) 3; (AE) 4; (BC) 5; (BD) 6; (BE) 7; (CD) 8; (CE) 9; (DE) 0.

相關試題

相關試卷

22. Let

$$\mathbf{A} = \begin{bmatrix} 1 & 3 & 2 & 0 & 1 \\ 0 & 0 & 4 & 4 & 4 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 2 & 2 & 2 \end{bmatrix}$$

What is the dimension of the null space of the matrix A?

(AB) 1; (AC) 2; (AD) 3; (AE) 4; (BC) 5; (BD) 6; (BE) 7; (CD) 8; (CE) 9; (DE) 0.