Question: Given the matrix (a) Solve |A| = 0 for real a, (b)If a = 2, find A 1 and hence solve (c)if a = 0,

Given the matrix

A = 1 a |-1 a -2 1 -1 2 a


(a) Solve |A| = 0 for real a,

(b) If a = 2, find A–1 and hence solve

X Ay = 0 [2] Z

(c) if a = 0, find the general solution of

X Ay 0 Z

(d) if a = 1, show that

X X Ay=2|y| N Z

can be solved for non-zero x, y and z.

Step by Step Solution

★★★★★

3.38 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b c If x y z then the three equat... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Q:

Solue the semilinear fallawng BUP (Boundry value Proble Tat 20)Ux t yuy 2 xe

Q:

Solve each system using matrix notation. Give each solution set in vector notation. (a) 2x + y - z = 1 4x - y = 3 (b) x - z = 1 y + 2z - w = 3 x + 2y + 3z - w = 7 (c) x - y + z = 0 y + w = 0 3x - 2y...

Q:

1. Solve the given initial value problem. y''- 12y" +52y' - 96y=0; y(0) =1. y'(0)=0, y"(0)=0 y(1)= 2. Find a particular solution to the differential equation using the Method of Undetermined...

Q:

MATH S350 TMA 01 Hints Question 1 Let A and B be the event that water is contaminated with excessive amount of pollutant A and pollutatnt B respectively. Remarks: 1. Half of those communities whose...

Q:

Math230, 2017-18: Workshop, Coursework & Quiz Questions Coursework and Quiz marks The maximum mark obtainable through the handwritten coursework is 15 for CW01CW09. Each week there are two or three...

Q:

19:25 f 15.0 KB/S 26 Ill 57 Let Us Discover 1. Sampling Distribution of Sample Mean with Normal Population when the Variance is Known Consider the grades of three Grade 11 students in their...

Q:

19:25 f 15.0 KB/S 26 Ill 57 Let Us Discover 1. Sampling Distribution of Sample Mean with Normal Population when the Variance is Known Consider the grades of three Grade 11 students in their...

Q:

19:25 f 15.0 KB/S 26 Ill 57 Let Us Discover 1. Sampling Distribution of Sample Mean with Normal Population when the Variance is Known Consider the grades of three Grade 11 students in their...

Q:

4A Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Find the result of performing the elementary row...

Q:

What is a regolith (Fig. 8.2)?

Q:

Alpha Corporation and Beta Corporation are identical in every way except their capital structures. Alpha Corporation, an all-equity firm, has 16,000 shares of stock outstanding, currently worth $20...

Q:

Carry out the following binary additions: a 00011101 01100110 b 00100111 00111111 c00101110-01001101 d 01110111 00111111 e 00111100-00110011 1 00111100-0111101 9 00111111 0011111 h 00110001-0011 i...

Q:

Should managers participate in the accounting exercise of allocation of fi xed costs? (Hint: You may wish to consider the cyclical nature of the construction industry as an example that illustrates...

Q:

The smallest observed frequency for a transition between states of an electron in a one-dimensional box is 3.0 10 13 s 1 . What is the length of the box?

Q:

Are the total energy eigenfunctions for the free particle in one dimension, + (x) A + e +i(2mE/h2)x and (x) A e i(2mE/h2)x eigenfunctions of the one-dimensional linear momentum operator? If so,...

Q:

Use the eigenfunction (x) = Ae +ikx + Be ikx rather than (x) = A sin kx + B cos kx to apply the boundary conditions for the particle in the box. a. How do the boundary conditions restrict the...

Q:

i need correct answrrs 6 0 2 . ' '

Q:

Identify the costs associated with the initial valuation of a developed natural resource. please answer in your own words, do not use the outside resources.

Q:

A company's fixed operating costs are $460,000, its variable costs are $2.15 per unit, and the product's sales price is $4.80. What is the company's break-even point; that is, at what unit sales...