Let: v = the matrix: -20 -15 11 18 Write v as a linear combination of the vectors in the following basis of R4: B = 15 9 1 1 9 2 -3 -1 -5 -1 2 1 -11 -5 1 0 (These are four vertical 4x1's, separated by commas.) It is not necessary to verify that B is a basis.

Let: v = the matrix: -20 -15 11 18 Write v as a linear combination of the vectors in the following basis of R4: B = 15 9 1 1 9 2 -3 -1 -5 -1 2 1 -11 -5 1 0 (These are four vertical 4x1's, separated by commas.) It is not necessary to verify that B is a basis.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.3: Properties Of Determinants

Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

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Question

Let:
v = the matrix:

-20

-15

Write v as a linear combination of the vectors in the following basis of R⁴:

B =

15	9	1	1
9	2	-3	-1
-5	-1	2	1
-11	-5	1	0

(These are four vertical 4x1's, separated by commas.)

It is not necessary to verify that B is a basis.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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