2. (8 points) Let B be the matrix given to the right. Calculate det(B) by expanding...
(3 points) Let A be a 4 x 4 matrix with det(A) = 8. 1. If the matrix B is obtained from mes the second row to the first, then det(B) = 2. If the matrix C is obtained from A by swapping the first and second rows , then det(C) = 3. If the matrix D is obtained from A by multiplying the first row by 5, then det(D) =
Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make...
1. Let A and B be two 4 by 4 matrices with (let A =-2 and det B-1-8. Find det(-2.1' B) 2. Assume that A is a 4 x 4 matrix and det (Adj(A))-8, find det(A) 3. Find the inverse the given matrice by way of elementary row operations
Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Axequals=b. Then solve the system and write the solution as a vector. Aequals=left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 3 3rd Column negative 2 2nd Row 1st Column negative 2 2nd Column negative 2 3rd Column 0 3rd Row 1st Column 5 2nd Column 2 3rd Column 6 EndMatrix right bracket 1...
Part 7 of 8 - Question 7 of 8 1.0 Points , find det A. [100 If A = 0 1 2 O 34 ОАО OB. 2 O C. -2 O D. 10 O E. not defined Reset Selection Part 8 of 8 - Question 8 of 8 1.0 Points 2] [100] 5 and C= 0 0 2 . Which of these matrices have determinant zero? 0 30 [171] -1 0 Consider the matrices A= 3 0 3 , B=...
4. Let A and B be 4 x 4 matrices. Suppose det A= 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det(AT)? (d) (4 points) What is det(A-1)? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of AT are linearly independent. [2] and us 6. (6 points) Let vi...
Matrix Methods/Linear Algebra: Please show all work and justify
the answer!
4. Let A and B be 4 x 4 matrices. Suppose det A = 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det(A”)? (d) (4 points) What is det(A-")? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of...
4. Let A and B be 4 x 4 matrices. Suppose det A = 4 and det(AB) = 20. (a) (4 points) What is det B? (b) (4 points) Is B invertible? Why or why not? (c) (4 points) What is det (A?)? (d) (4 points) What is det(A-?)? 5. (6 points) Let A be an n x n invertible matrix. Use complete sentences to explain why the columns of AT are linearly independent. and 2 6. (6 points) Let...
6. (10 points) A 2D data x is given below. Find the 3-stage integer wavelet transform (IWT) for x. Use (1,1) integer wavelet transform. (a) Find the matrix xl after column transform in the first stage. 8x8 (b) Find the matrix X2 after row transform in the first stage. 8x8 (c) Find the matrix x3 after column transform in the second stage. 4x4 (d) Find the matrix x4 after row transform in the second stage. 4x4 (e) Find the matrix...
2. Let A be the matrix shown below A= a.) (8 points) Find the matrix P that diagonalizes A. b.) (2 points) Using your result from part a, find A. You must show how part a was used for credit.