Qno3 3l 60% i 5:10 p.m.+ A4.LA.S21.pdfLinear AlgebraAssignment 4Question 1-22-3]Find the Eigen values of the matrix A = 2l-1 -21-6Also, prove the following properties:a. The sum of the Eigen values = Trace of the Matrixb. The product of the Eigen values = determinant of the MatrixQuestion 2The Matrix A is defined as2A = 0 -26.-3]Find the Eigen Values of34° + 5A? + 6A +1Question 3Find the Eigen values and the corresponding Eigen Vectors of thefollowing matrix| 6 -2 2-2-1-1Question 4-22-3]A square matrix is defined as A =| 2 1l-1 -2-6|. find the Modal Matrix andthe resulting diagonal matrix D of AQuestion 5[1 2 -2]If A =|-2 5 -2|, then calculate A®[-6 6 -3]Question 6(a) A force of magnitude 6 units acting parallel to (21 – 2j + k) displaces,the point of application from (1, 2, 3) to

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Description: Qno3 3l 60% i 5:10 p.m.+ A4.LA.S21.pdfLinear AlgebraAssignment 4Question 1-22-3]Find the Eigen values of the matrix A = 2l-1 -21-6Also, prove the following properties:a. The sum of the Eigen values = Trace of the Matrixb. The product of the Eigen val