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Question 4: [2 Mark] Determine whether or not the given vectors in $R^n$ form a basis for $R^n$: a) $v_1 = (3, -7, 5, 2)$, $v_2 = (1, -1, 3, 4)$, $v_3 = (7, 11, 3, 13)$. b) $v_1 = (0, 0, 1)$, $v_2 = (0, 1, 2)$, $v_3 = (1, 2, 3)$.

          Question 4: [2 Mark]
Determine whether or not the given vectors in $R^n$ form a basis for $R^n$:
a) $v_1 = (3, -7, 5, 2)$, $v_2 = (1, -1, 3, 4)$, $v_3 = (7, 11, 3, 13)$.
b) $v_1 = (0, 0, 1)$, $v_2 = (0, 1, 2)$, $v_3 = (1, 2, 3)$.

Added by Tony B.

Elementary Linear Algebra: Applications Version

Howard Anton, Chris Rorres 11th Edition

Chapter 1

Instant Answer

Solved by Expert Moses Obasola

Step 1

a) The vector v = 3, -7, 5 does not form a basis for R because it only has one element, while a basis for R should have infinitely many elements. Show more…

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Question 4: [2 Marks] Determine whether or not the given vectors in R form a basis for R. a) v = 3, -7, 5 b) v = 2, 1, -1, 3, 4 c) v = 7, 11, 3, 13 d) b = 0, 0, 1 e) b = 0, 1, 2 f) b = 1, 2, 3