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In Exercises 1 and $2,$ compute $\mathbf{u}+\mathbf{v}$ and $\mathbf{u}-2 \mathbf{v}$$\mathbf{u}=\left[\begin{array}{r}{-1} \\ {2}\end{array}\right], \mathbf{v}=\left[\begin{array}{c}{-3} \\ {-1}\end{array}\right]$

The sum of $\mathbf { u } + \mathbf { v }$ in $\mathbb { R } ^ { 2 }$ is $\left[ \begin{array} { c } { - 4 } \\ { 1 } \end{array} \right]$The sum of $\mathbf { u } - 2 \mathbf { v }$ in $\mathbb { R } ^ { 2 }$ is $\left[ \begin{array} { l } { 5 } \\ { 4 } \end{array} \right]$

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 3

Vector Equations

Introduction to Matrices

Campbell University

Oregon State University

Lectures

01:32

In mathematics, the absolu…

01:11

00:58

In Exercises 1 and $2,$ co…

03:40

Repeat Exercise 23 for $\m…

09:33

In Exercises 11 and $12,$ …

00:46

In Exercises $1-72$, compu…

00:42

In Exercises $1-66,$ compu…

01:02

02:35

02:09

In Exercises $1-34,$ perfo…

06:02

In Exercises 25–30, use th…

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huh? All right, so we want to figure out what you plus V is. Well, that is the same thing as so this is what you iss. This is what he is. And so when I sum them together, I get minus for one by some them component by component. You minus to be. That's equal to minus one to minus two was minus three minus one. That's the same thing is minus one plus six. Two plus two. And so that gives me the vector. Sorry. Minus five, five four.

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In mathematics, the absolute value or modulus |x| of a real number x is its …

In Exercises 1 and $2,$ compute $\mathbf{u}+\mathbf{v}$ and $\mathbf{u}-2 \m…

Repeat Exercise 23 for $\mathbf{v}_{1}=\left[\begin{array}{l}{1} \\ {2}\end{…

In Exercises 11 and $12,$ determine if $\mathbf{b}$ is a linear combination …

In Exercises $1-72$, compute the value of each expression.$$4-12-(-2)-3$…

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In Exercises 25–30, use the results of Exercises 21–24 and Example 2 to find…

In Exercises $1-72$, compute the value of each expression.$$2-(-3)$$

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Determine if the systems in Exercises 15 and 16 are consistent. Do not compl…

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$[\mathbf{M}]$ Let $\mathbf{b}=\left[\begin{array}{l}{7} \\ {5} \\ {9} \\ {7…

In Exercises 7–10, the augmented matrix of a linear system has been reduced …

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In Exercises $5-8,$ determine if the columns of the matrix form a linearly i…

Suppose a $3 \times 5$ coefficient matrix for a system has three pivot colum…

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Let $\mathbf{v}$ be the center of mass of a system of pointmasses locate…

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In Exercises $1-4,$ determine if the vectors are linearly independent. Justi…

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