Question: Problem 1. (4 points) Suppose A and B are 4 x 4 matrices with det(A) = 3 and det (B) = 8, find the determinant

Problem 1. (4 points) Suppose A and B are 4 x 4 matrices with det(A) = 3 and det (B) = 8, find the determinant of matrix (3A) (AB) -1. (A) 96 (B) 756 (C) 81/8 (D) 3/8 (E) Cannot be determined

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!

2. The sum of the diagonal entries of a square matrix is called the trace of the matrix, denoted tr( A). (a) (4 points) Suppose A and B are m x n matrices. Show that m 172 tr(AT B) - A Bij i=1 j=1...

Linear Algebra Final answer only please! Section 2.2 Properties of Determinants: Problem 1 (1 point) If A and B are 3 x 3 matrices, det (A) = 2, det (B) = -8, then det (AB) = det (3.A) = det (A]) =...

Algebra Final answer only No explanation needed Problem 8. (10 points) If A and B are 3 x 3 matrices, det(A) = 5, det(B) = 6, then det (AB) = det (3.A) = det (A B') = det (A3 B 1) =]. det (3ABT A-1)...

Problem 15. (10 points) If A and B are 4 x 4 matrices, det( A) = 4, det (B) = -9, then det ( AB) = det(-3A) = det ( ATB) det ( A2 B 1) = det(-3ABTA 1) = Note: You can earn partial credit on this

Im having trouble understanding this problem Tools MA 260 Written Ass. * (+) 9 2/1 135% . [ 6 ] 4. Suppose A and B are 3 x 3 matrices with det (A) = 3 and det(B) = -2. Find each of the following....

15 points If A and B are 4 x 4 matrices det A 4 det B 8 then det AB det 2A det AT det B det B4

From V to V, where Q = [ ]. a) Find the matrix A of T with respect to the basis b) Find the basis of the image and kernel of T, and thus determine the rank of T. Problem 21 In all of this problem,...

1) \f(1 point) If A and B are 7 x 6 matrices, and C' is a 4 x 7 matrix, which of the following are defined? DA. AT - AT OB. AT + BT + CT c. C - B D. B - A DE. CT\f\f\f(1 point) If A and B are 3 x 9...

Help 3. (5 points total) a. (2 points) Suppose A, B, C are 3 x 3 matrices, where det(A) = 3, det(B) = 6, and det (C) = -4. Compute det(AB-1CT ). Show all work. b. (3 points) Suppose A is a 4 x 4...

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 simply supported beam AB supports a trapezoidally distributed load (see figure). The intensity of the load varies linearly from 50 kN/m at support A to 25 kN/m at support B. Calculate the shear...

Mars-Venus Company has forecast credit sales for the fourth quarter of the year as: September (actual)............................ ....................................................... $50,000...

5. The intNums array is declared as follows: Dim intNums() As Integer = {10, 5, 7, 2}. Which of the following blocks of code correctly calculates the average value stored in the array? The intTotal,...

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.