Linear Algebra Answers

Questions: 2 049

Answers by our Experts: 1 848

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Search & Filtering

Solve the system of linear equations using matrix inverse method.

x-y+z=1

2y-z=1

2x+3y=1


The following were obtained by applying Kirchoff’s laws to an electric circuit


2IA +IB −IC = −8


−IA +IB +IC = 3


−2IA +4IC = 18


Use the matrix method (together with elementary row transformations) to solve the following:


2x −y +3z = 2


x +2y −z = 4


−4x +5y +z = 10


Determine the inverse of A, and show that A


−1A = I.


A =


(2 1 0


2 −1 1


3 −2 4)





Instructions





Upload photos of your answer sheet showing your name and solution. (2 items x 10 points)





1. Find A-B using the following matrices:





5





6 1





2





9





3





A=-3





5





8





B=|





81





4










3





3





4





67





-5





-1





2. Find AB using the following matrices:





A=





1 2





3





B=





+ Prepare answer





7





9





8





10





4 5 6





11





12






QUESTION 1. [34 MARKS] 1.1 Determine whether each of the following mappings T is linear, or not. Justify your answer.

(a) T: R2 - R3, where T(z, y) = (3y, 2x, —y).

(b) T: P1 - R2, where T[p(x)] = [p(0), p(1)].

(c) T: R3 - R2, where T(z, y,z) = (x+1,y+2).


Solve for x in the given matrix equalities



det (x −3 4


3 −5 x


1 2 −1)= 45


Determine the value of the unknown in the given matrix equalities



(2 −1 x


4 7 0)


(x 3


−2 5


1 −4)


=


(4 −2


1 5 )


. Determine the value of the unknown in the given matrix equalities


(i)



(5 −2


−4 3 )+


(x y


w z)


=


(2 −1


3 6 )


Let 𝐴=   1 1 1 3

               2 0 4 6

               1 1 3 7


a. What size is A?

b. What is the third column of A?

 c. What is the second row of A?

d. What is the element of A in the (3,2)th position?

e. What is A’?



LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS