linear algebra hw, please label and answer. thank you! Suppose a 5x4 matrix has a rank 3, then the dimension of the Null space.Dimension of the Row space and rank of A' respectively are1, 3, 1O 1, 1, 33, 1, 11, 3, 3 Find the B-coordinate vector for p(t) = 1+3t - t2 - 4t3B=(1-3t² – 2t³, 2+t+2t³, 1+2t +t²)a. (2,-1,2)b. (1,–1,2).C. (2,–1,1)d. (-2,1,2)

Name: linear algebra hw, please label and answer. thank you! Suppose a 5x4 m
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Description: linear algebra hw, please label and answer. thank you! Suppose a 5x4 matrix has a rank 3, then the dimension of the Null space.Dimension of the Row space and rank of A' respectively are1, 3, 1O 1, 1, 33, 1, 11, 3, 3 Find the B-coordinate vector for p

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section: Chapter Questions

Problem 14RQ

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linear algebra hw, please label and answer. thank you!

Suppose a 5x4 matrix has a rank 3, then the dimension of the Null space.
Dimension of the Row space and rank of A' respectively are
1, 3, 1
O 1, 1, 3
3, 1, 1
1, 3, 3

Find the B-coordinate vector for p(t) = 1+3t - t2 - 4t3
B=(1-3t² – 2t³, 2+t+2t³, 1+2t +t²)
a. (2,-1,2)
b. (1,–1,2)
.C. (2,–1,1)
d. (-2,1,2)

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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