Answered: - Let u=(3,1,5) and v=(2,-3,1). Then…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Concept explainers

Question

hello, this is some question of linear algebra that I need help with please

some of them are photos and I'll type the rest :

1- Let u=(3,1,5) and v=(2,-3,1). Then (2u+v).(3v+u) is equal to:

2- For which value of k the two vectors u=(k,2,-4) and v= (-4,8,1) are orthogonal?

3-Let a be the angle between the vectors u=(-3,-4,0) and v=(4,3,0). Then :

a- sin(α)= 24/25

b- cos⁡(α)= 24/25

c- None of these

d- cos⁡(α)= - 24/25

3- Let B= {(1,0,0), (0,4,-3), (4,0,3)} be a basis for R3. Applying Gram-Schimdt process on B, What orthonormal basis we get ?

4- Let A be 7×8 matrix. Knowing that Nullity (A) = 2. Then Rank(A) is equal to:

a- 1

b- 6

c- None of these

d- 5

e- 2

5-Let u=(1,0,-4) and v=(0,2,3). Then by Cauchy-Schwarz Inequality:

a- |u.v| = √221

b- |u.v| <= √221

c- |u.v| >= √221

d- none of the above

#maths#engineering#linear algebra#computer science

1
2
-21
Let A = |-2
-2
-6
6.
-3]
The Eigenvectors X corresponding to 1 = 3 are:
+ q|1, t,q # 0
Lo.
None of these
the above
t|0+q|1, t, q ± 0
t|0
+q|1], t,q ± 0
lo]

1 0
Let A = |-1
2
-3
1
-4
-1
3
1
8
-6]
Then Rank(A) is equal to:
O None of these
O 1
O 2
6 G Which of the following is true?
-31
7
Let A =
%3D
A is not diagonalizable
O A is not invertible
None of these

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

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Vector Space$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions