In Exercises 5 through 6, use the determinant to find out for which values of the...
Find all values of λ for which the following determinant will equal 0: [[(2-λ), 3], [4, (3-λ)]] (Write your answer as a list of numbers separated by commas.)
Please complete 1 through 5
1. Find the determinant of the given matrix. 2. Find all t such that -2 t-2 3. Solve the given system by Cramer rule. 4. Solve the given system by Cramer rule. 5. Find the determinant of the given matrix by expansion across column 3. D 2 3 -2
с 1 0 3. Use determinants to find which real values of c make the matrix 0 2c invertible. -1 c1 4. Find the characteristic polynomial, the eigenvalues and corresponding eigenvectors of each of the following matrices. --2 1 2 (b) 2 6 -6 3 3 2 2
For all the exercises below you may use MATLAB to check your answers, but you must solve everything by hand and show all your working. 2. Consider the system of equations Ax b described by: BAEJEHE 2 1 1 -1 2 k 2 -4 9 3-6k k+1 ion where k is an unknown constant. (a) Perform row operations on the augmented matrix Ab] to get as close as you can to row echelon form without knowing the value of k....
DETAILS LARLINALG8 3.1.021. Use expansion by cofactors to find the determinant of the matrix. 6 6 1 04 3 0 0-3
question 9. find the eigen value and vector
Exercises 3.7 In Exercises 1-12, determine the e-values 4 e-vectors. [ 3-2 4] 5.4-[ -[] 7.1-3, . T 3 -1-1] [i 1-1] [1 1 -2] (9. A = -12 0 5 10. A = 10 2 -1 11. A= 0 2 -1 L 4-2-1) Lo o i Lo o 1 In Exercises 13-18, use condition (5) to determine whether the given matrix Q is orthogonal. 6 67
2 invertible? C For which values of c is the matrix 8 O c 4 c =-4 Both of the above, i.e., c +4 Neither of the above, i.e., c +4. Suppose that the following row operations: interchange rows 1 and 3 multiply row 3 by 1/2 add -3 times row 1 to row 2 2 1 7 in this order, transform a matrix A into B = | 0 4-5 L0 0 3 What is the determinant of A?...
Use expansion by cofactors to find the determinant of the matrix. - 3 4 -1 13 1 2 | -1 4 2 Use expansion by cofactors to find the determinant of the matrix. [65 31 0 4 1 00-3]
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...
a) IAI 2. Use expansion by cofactors to find the determinant of the matrix. A-4 5 0(ln your solution, state the row or column that you are expanding)