Question

Perform the following matrix multiplications

A = [2 5 6]

[-3 0 1]

B = [ 1]

[ 3]

[-4]

C = [-2 10 1]

6a. Find AB

6b. Find BC

6c. Find AC

Answer #1

CHAPTER 2 MATLAB EXERCISES QUESTION 1:
Enter the matrices A=[0 -4 5] and B= [-5 6 7]
3 1 -2 0 -1 2
2 1 4 4 0 -3
USE MATLAB to find a) A + B
b) B - 3A
c) AB
d) BA
QUESTION 6:
ENTER THE THREE MATRICES A= [1 2 3 4] B= [4 -6 3 5]
2 3 4 5 0 -3 -6 8
3 4 5 6 3 5 0 7
4 5 6 7...

LINEAR ALGEBRA
For the matrix B=
1 -4 7 -5
0 1 -4 3
2 -6 6 -4
Find all x in R^4 that are mapped into the zero vector by the
transformation Bx.
Does the vector:
1
0
2
belong to the range of T? If it does, what is the pre-image of
this vector?

Given a matrix F = [3 6 7] [0 2 1] [2 3 4]. Use Cramer’s rule to
find the inverse matrix of F.
Given a matrix G = [1 2 4] [0 -3 1] [0 0 3]. Use Cramer’s rule
to find the inverse matrix of G.
Given a matrix H = [3 0 0] [-1 1 0] [-2 3 2]. Use Cramer’s rule
to find the inverse matrix of H.

A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4),
AB= 7? − ? − 3?
CB = 4? − 5? + 3?
AC = 3? + 5? - 2?
Question 7: Express the vector AC as the sum of two vectors: AC
= ? + ?, where ? is parallel to the vector CB and ? is
perpendicular to CB. Given that AC ∙ CB = −26 and that CB = √50,
determine the y-component of...

Matrix A= -2 1 0
2 -3 4
5 -6 7
vector u= 1
2
1
a) Is the vector u in Null(A) Explain in detail why
b) Is the vectro u in Col( A) Explain in detail why

Find the LU factorization of the matrix
a)
( 6 2 0
-12 -3 -3
-6 -1 -14
9 -12 45 )
b) ( 2 -1 -2 4
6 -8 -7 12
4 -22 -8 14 )

Find the characteristic polynomial of the matrix
-5
4
0
0
-2
3
-1
2
0
(Use x instead of λ.)
p(x)=

A) Find the inverse of the following square matrix.
I 5 0 I
I 0 10 I
(b) Find the inverse of the following square matrix.
I 4 9 I
I 2 5 I
c) Find the determinant of the following square matrix.
I 5 0 0 I
I 0 10 0 I
I 0 0 4 I
(d) Is the square matrix in (c) invertible? Why or why not?

(a) Find the inverse of the following square
matrix.
I 5 0 I
I 0 10 I
(b) Find the inverse of the following square
matrix.
I 4 9 I
I 2 5 I
(c) Find the determinant of the following square
matrix.
I 5 0 0 I
I 0 10 0 I
I 0 0 4 I
(d) Is the square matrix in (c) invertible? Why or why
not?

Find the inverse matrix of
[ 3 2 3 1 ]
[ 2 1 0 0 ]
[ 3 -5 1 0 ]
[ 4 2 3 1 ]
This is all one 4x4 matrix
Required first step add second row multiplied by (-1) to first
row
try to not use fractions at all to solve this problem

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