3. Explain why the determinant of a matrix that is row equivalent to the identity matrix...
I need all details. Thx 2. Give an example of a matrix with the indicated properties. If the property cannot be attained, explain why not (a) A is 2 x 4 and has rank 3. (b) A is 3 × 3 and has determinant 1. (c) A is 3 × 6 and has a 3 dimensional row space and a 6 dinensional column space (d) A is 3 × 3 and has a 2 dimensional null space. (e) A is...
[10] 3. By using only row echelon operations compute the determinant of the matrix 10 25 - 15 A=| 1 2 4 8 12-16
Compute the determinant of following matrix by expansion through second row. 1 1 3 5 8 11 10 1
Compute the determinant of the following matrix using a cofactor expansion across the first row. 6 2 - 2 A= 50 35 4 0 N Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) OA. Using this expansion, the determinant is (6)(-30) - (2)(2)+(-2)(25)= OB. Using this expansion, the determinant is (6)(-30)+(5)(2)+(3)(25) = OC. Using this expansion, the determinant is...
Find the determinant of the matrix by using a row/column with the most zeros to simplify your work. Show your work! 1 25 2 10. 2 -4-3 5 2 03 5
B: Calculate the determinant of the following matrix by using row reduction to produce an upper triangular form: 2 marks 10 4 21 B=0 -4 3 -5 -1 -12
Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A. T 2 - 3 4 1-5 -1 A= -4 0 - 5 3 0-3 8 3 1 - 3 2 - 4 1 3 0 -2 0 0 0 0 -4 0 1 3 3 -5 - 8 -15 21 0 0 0 1-3
Please show all steps clearly. 3. Find the determinant of A using row reduction to an echelon form. Show at least two row equivalent reduced matrices and give the determinant of your final echelon form. 2 3 4 A = 1 3 -2 15 0 -1)
Find the determinant of the matrix. Expand by cofactors [ 7-11 1-5 10 (a) Row 2 (b) Column 2 284 noints SOLICA
tion 135 The matrix A = b c df 9 Lh j k] has a determinant of 6. 3d 29 -6f (a) What is the determinant of the matrix B = 3a 2c - 6b 3h 2k-6j] List the row & column'operations that were performed on A to produce B and state what each of these operations' does to the determinant 3d 39 3f (b) What is the determinant of the matrix C = 2a 2c 25 -6h -6 Explain...