Question 27 - Week 4 Practice

Question 27

00:00Est. 2 min

Marks:+1.000.00

Passage

Choose the correct basis for each of the given vector spaces in the subquestions. Consider the following sets:

B_1=\left\{\begin{bmatrix}3&-3\\0&0\end{bmatrix},\begin{bmatrix}0&0\\-5&5\end{bmatrix}\right\}

B_2=\left\{\begin{bmatrix}0&2\\-2&0\end{bmatrix}\right\}

, and

B_3=\left\{\begin{bmatrix}1&0\\0&-1\end{bmatrix},\begin{bmatrix}0&-2\\0&0\end{bmatrix},\begin{bmatrix}0&0\\3&0\end{bmatrix}\right\}

Question

W_3

is the set of all

2\times2

matrices such that the sum of the diagonal entries is zero.

Comprehension

Medium Difficulty

27 October 2024