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In Exercises 19–24, justify each answer or construction.If possible, construct a $3 \times 4$ matrix $A$ such that dim Nul $A=2$ and $\operatorname{dim} \operatorname{Col} A=2$

$A_{3 \times 4}=\left[\begin{array}{cccc}{1} & {3} & {4} & {-7} \\ {0} & {1} & {6} & {5} \\ {0} & {0} & {0} & {0}\end{array}\right]$

Algebra

Chapter 2

Matrix Algebra

Section 9

Dimension and Rank

Introduction to Matrices

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University of Michigan - Ann Arbor

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In Exercises $17-22,$ use …

right. So this question we are asked to construct a four by three matrix with Frank one, so I fall by three. Matrix is for rose and three colors. So to have rank one, do you have a rack of one? It's implying that we need the people. Call the number. Turn a more typical ums to be one. Yeah, so we need to do is just put one here and in three columns. 00 No, just make four roads, And that's how answer we only have one people call him so therefore ranked one, and it's a full bathroom matrix.

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