Question: Show that if A is a 3 X 3 matrix and the sum of each column of A is 1, then the determinant of I

Show that if A is a 3 X 3 matrix and the sum of each column of A is 1, then the determinant of I A is zero. You should not invoke the Invertible Matrix Theorem

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

Reconsider the example of choosing the advertising budget at VRX that is presented in Section 1.4. In addition to the VRX2000, VRX also has a higher-end virtual-reality headset, the VRX3000. This...

State one main repository that stores OCTAVE packages. (1 mark) mark) M b) Complete the OCTAVE commands below by filling in the blanks to calculate the integral (in numeric form) [U] UTM with respect...

Let A = ? ? 1 0 ?1 k 1 0 0 k 1 ? ?, b = ? ? 0 0 k ? ?, where k is a real number, and let B be a 3 3 matrix with det(B?1 ) = 1 2 . (a) Determine the determinant |A|. (b) Determine the determinant...

Develop a general VB code that can compute the determinant of any arbitrary 3 x 3 matrix. Test the code by computing the determinant of the matrix A in the following LAE problem. Ans: -69 -3y +7z=2 x...

Answer the following questions and please write the process clearly. QUESTION 3 Suppose the determinant of the 3 x 3 matrix A is 0.2. What is the determinant of 24-1; QUESTION 4 1 1 0 The matrix 0 11...

Problem 4. Let A be any 3 X 3 matrix over F such that A3 = O, the zero matrix, while A2 0. (a) Let 1) E F3 be any nonzero vector such that A21: is nonzero. (Such a vector exists because A2 i 0.)...

I tried to upload the image, but it wont let me to download. Direction: (Game: nine heads and trails) Nine coins are placed in a 3 x 3 matrix with some face up and some face down. You can represent...

questions below: The vector x is in a subspace H with a basis B ={b1,b2}. Find the B-coordinate vector of x. b1=[-:]2=['1]'x=[13J Explore the effect of an elementary row operation on the determinant...

Question 1 0.5 pt: Which of the following statements is false? Q If the matrix A is a square matrix, then det(A) : det(AT). Q If A is a 3 X 3 matrix and B is obtained from A by multiplying the rst...

1. Let A = 1 O O 0 (a) Calculate det(A). Briefly explain why A is invertible. (b) Find A-1. (c) Solve the matrix equation Ax = b if X= and b = -4 Z2. Imagine a 2-player board game consisting of a...

Problem #1: Find the values of a, b, and so that det(A) = ax? + bx +c. x -2 0 A=1|-2 x 2 3 -6 -4 Problem #1: : separate your answers with a comma | Just Save ' | Submit Problem #1 for Grading Problem...

A team at a hospital studied the process of performing a diagnostic CT scan. The current process can be described as follows. The CT tech enters a send for patient request into a computer when the CT...

Write parametric equations for each circle described. a. Radius 2, center (0, 3) b. Radius 6, center (- 1, 2)

A schedule of investment activity will include all of the following except Question 4 5 options: A ) the purchases and sales. B ) ending balances. C ) the opinion of management as to the suitability...

A company issues 1,050 shares of its common stock for $33,600 cash. Prepare journal entries to record this event under each of the following separate situations.