# Problem 1 Consider the matrix Problem 1 Consider the matriz a 2 5 3 11 08...

###### Question:

Problem 1 Consider the matrix Problem 1 Consider the matriz a 2 5 3 11 08 a Find the cofactors C11,C2,C3 of A. b Find the determinant of 1, det(A)
[ 2 4 61 Problem 2 Consider the matriz A=008 | 2 5 3 a Use the ero's to put A in upper triangular form 5 Pinul the determinant of A. (A) by keeping track of the row operations in part a and the properties of determinant
Problem 3 Consider the matriz A = 2 [1 0 2 CSN and let matrix of cofactors of A be given by C = a Find the determinant of A, det(A). b Find the inverse of A, A-1 c. Use the inverse of A to find solutions to the following system +-1 2.11 + + 2 + 1.73 1 +2.63 - 0 + 3 1
Problem 4 Consider the following linear system. 21 +222 + 3.13 = 3 201 + 3x2 + 8.13 = 1 3x1 + 2x2 + x3 = 1 a Write the system in the form Ax = b. Clearly identify your A,x and b. 6 Use Cramer's rule to find the value of any if possible or say why it is not possible.
b Find the determinant of A, det(A) by keeping track of the row operations in part [aand the properties of determinant.

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