1. Find a basis for the vector space [a+b+c] -a +6 b+c : a, b, c €R) W = a -6 What is the dimension of W? 2. Find a basis for R' that contains the vectors and 3. Find basis for the nullspace of the...

1. Find a basis for the vector space W (see attached photo). What is the dimension of W?

2. Find a basis for R⁴ that contains the vectors given. (see attached photo)

3. Find basis for the nullspace of the following matrix A. Use it to determine the nullity of A. (see attached photo)

1. Find a basis for the vector space<br>[a+b+c]<br>-a +6<br>b+c<br>: a, b, c €R)<br>W =<br>a -6<br>What is the dimension of W?<br>2. Find a basis for R' that contains the vectors<br>and<br>3. Find basis for the nullspace of the following matrix A. Use it to determine the nullity of<br>A.<br>-2<br>-1]<br>-1<br>3<br>A =<br>7<br>-8<br>-7<br>--- T<br>

Extracted text: 1. Find a basis for the vector space [a+b+c] -a +6 b+c : a, b, c €R) W = a -6 What is the dimension of W? 2. Find a basis for R' that contains the vectors and 3. Find basis for the nullspace of the following matrix A. Use it to determine the nullity of A. -2 -1] -1 3 A = 7 -8 -7 --- T

Jun 04, 2022

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1. Find a basis for the vector space [a+b+c] -a +6 b+c : a, b, c €R) W = a -6 What is the dimension of W? 2. Find a basis for R' that contains the vectors and 3. Find basis for the nullspace of the...

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