Linear Algebra4.111.pls help Consider the following vectors.u = (7, -9) and v =(9, 1) WebAssign Plot(b) Find u + v.u + v =(c) Find 8v - u.8v - u =(d) Write w = (88, 0) as a linear combination of u and v.W =

Answered: WebAssign Plot (b) Find u + v. u + v =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Linear Algebra

4.1

11.

pls help

Consider the following vectors.
u = (7, -9) and v =
(9, 1)

WebAssign Plot
(b) Find u + v.
u + v =
(c) Find 8v - u.
8v - u =
(d) Write w = (88, 0) as a linear combination of u and v.
W =

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.

Expert Solution

Step 1

In geometry and physics and its engineering applications, we use two kinds of quantities, scalars, and vectors.

A scalar is a quantity that is determined by its magnitude, its number of units measured on a suitable scale. For instance, length, temperature, and voltage are scalars.

A vector is a quantity that is determined by both its magnitude and its direction, thus it is an arrow or directed line segment. For instance, a force is a vector, and so is a velocity.