Chapter 4.2, Problem 54E

Please focus on ix.

Please focus on vi.

的 v If A is an n x n matrix that is not invertible, then A. rank(A) = n C. det(A) = 0 B. Reduced row-echelon form of A = In D. AB BA= In for some matrix B 63°F Partly sunny Q Search 3 $ 4 40 FS 96 S W E A S T FG S Y & コ B ㅁ F G H J 4 Z X C V B N M 9 H V FIB - FIB ㅁ P L ว DELETE BACHSPACE LOCK L ? PAUSE ALT CTRL ENTER 7 2:20 PM 4/14/2025 HOME J INSERT SHIFT END 5

For this problem just focus on problem i please.

Don't worry about the other problems just focus on i. Thank you!

Thank you for your help!

i Compute the given determinant by cofactor expansions. At each step, choose a row or columnthat involves the least amount of computation.7 6 8 40 0 0 68 7 9 30 4 0 5

i Compute the inverse of the matrix below using row operations. Please show your work.1 0 −2−3 1 42 −3 4   This is a 3*3 matrix. First row is 1 0 -2.

Solve the system of equations below by applying row operations on the corresponding aug-mented matrix to convert it to the reduced row-echelon form. Write the solutions using freevariables as parameters.x1 + 3x2 + x3 = 1−4x1 − 9x2 + 2x3 = −1−3x2 − 6x3 = −3