Linear Algebra questions and answers in October 2022

Hawaii Sugar Company produces brown sugar, processed (white) sugar, powdered sugar and molasses from sugar cane syrup. The company purchases 4000 tons of syrup weekly and is contracted to deliver at l...

. 1. Use row operations to compute det(T): a a- T = b 62 1 c C 2 2. Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1,0, - 2), (1,2,4), and (7,1,0). Ske...

Please help, will definitely upvote. . Change of Basis {a} {b} (C) {d} For any given vector, we have to choose a basis to write this vector in. Typically, we choose the standard basis { e1, e2, . . ...

Eigenvalues of symmetric matrices . 1. Let A be a symmetric matrix. Let v1 be an eigenvector of A with eigenvalue )1, and let v2 be an eigenvector of A with eigenvalue 12. Assume that A1 * 12. Prove...

Properties of Upper Triangular . 1. Prove the set of all lower triangular matrices is closed under matrix multiplication. 2. Let U be an square n X no lower triangular matrix. Prove that the determi...

. Question 5 3 3 3 Let A = 10 -2 -8 , and let B = A*A, a normal matrix. 5 -11 6 (a) Prove that the eigenvalues of B are 200, 150, 27, and illustrate the property of normal matrices by finding a unit...