A Moving to another question will save this response. Question 4 Find the characteristic equation of the given matrix. Recall that characteristic equation is Det(A-Al)=0. Also recall that for upper and [1-7 4 97 0-5 7-1 A= Recall that characteristic equation is Det(A-Al)=0. Also recall that for upper and lower triangular matrix, determinant 0 0-7 5 0 0 0 6 O (1 - A)(-5 - A)(-7 - A)(6 - A) = 0 O (1- A)(-7- A)(4 - A)(9 - A) = 0 O (6-A)(5 - AN-1 - AN9 - A) = 0 O (9- AM-1 - AM5 - AN6 - A) = 0 A Moving to another question will save this response.

Question 010: Complete the following question involving determinants. Find the determinant of the following matrix. ijk 5 1 -2 7 -3 5 39i - 11j + 8k O -1i - 39] - 22k -22i + 39j - 22k -22i - 11j + 39k

Solve the following differential equation: yde+xdy 1-x²y² +ædr=0. = constant.

Diagonalize the following matrices: (a) -1 -17 1 A = 1 3 1 -3 1 -1 B = (b) -4 0 -4 2 -1 6 2 0 1 1 For the A and B matrices given in question 2 above, find A2 and B³ by using the method shown in Example 2 of section 5.3 (slides 3, 4, and 5). 3-2- 7 -1 -3 1 6 Find the determinant of the following matrix by using the method shown in Example 1 in section 5.2.