Math  /  Algebra

QuestionQ3: Find the Rank. 1. [640402026]\left[\begin{array}{rrr} 6 & -4 & 0 \\ -4 & 0 & 2 \\ 0 & 2 & 6 \end{array}\right] 2. [24816168424816221684]\left[\begin{array}{rrrr} 2 & 4 & 8 & 16 \\ 16 & 8 & 4 & 2 \\ 4 & 8 & 16 & 2 \\ 2 & 16 & 8 & 4 \end{array}\right]
Q4: Are the following sets of vectors linearly independent? Show the details of your work.
1. [011],[111],[001]\left[\begin{array}{lll}0 & 1 & 1\end{array}\right],\left[\begin{array}{lll}1 & 1 & 1\end{array}\right],\left[\begin{array}{lll}0 & 0 & 1\end{array}\right]
2. [413],[081],[135],[261]\left[\begin{array}{lll}4 & -1 & 3\end{array}\right],\left[\begin{array}{lll}0 & 8 & 1\end{array}\right],\left[\begin{array}{lll}1 & 3 & -5\end{array}\right],\left[\begin{array}{lll}2 & 6 & 1\end{array}\right]

Q5: Showing the details, evaluate: 1. 4700280000150022\left|\begin{array}{rrrr} 4 & 7 & 0 & 0 \\ 2 & 8 & 0 & 0 \\ 0 & 0 & 1 & 5 \\ 0 & 0 & -2 & 2 \end{array}\right| 2. 418023005\left|\begin{array}{rrr} 4 & -1 & 8 \\ 0 & 2 & 3 \\ 0 & 0 & 5 \end{array}\right|

Studdy Solution
Q3: 1.
Rank = **3**, 2.
Rank = **4** Q4: 1. **Linearly Independent**, 2. **Linearly Dependent** Q5: 1. **216**, 2. **40**

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord