Use a graphing utility or computer software program with matrix capabilities to write v as a linear combination of u1, u2, u3, U4, Ug and ug. Then verify your solution. u1 = (1, 1, -4, -4, 3, 4) u2 = (4, -3, 1, -1, 1, 4) uz = (0, 4, -3, -2, -4, 1) u4 = (4, 3, -4, 3, 4, 3) u5 = (4, -2, -4, 2, -4, 4) U6 = (3, 4, -4, 3, 3, 4) v = (-6, 42, -20, -18, 51, 11) V =

Represent the system of equations in as a matrix equation. Check your answer by back substitution or solving the system by any other method.

Write the system of linear equations in the form Ax = b and solve this matrix equation for x. -2x1 3x2 = -15 6x1 + x, = -27 X1 -15 X2 -27

Use a software program or a graphing utility to solve the system of linear equations using an inverse matrix.

Write the system first as a vector equation and then as a matrix equation. 8x₁ + x2 3x3 = 9 4x2 + 3x3 = 0 Write the system as a vector equation where the first equation of the system corresponds to the first row. Select the correct choice below and fill in any answer boxes to complete your choice.

Write the system of equations associated with the augmented matrix. Do not solve. - 3 - 7 3 - 7 - 6 3 - 7 - 9 - 3 A. B. Зx + - Зу + —7z%3D -7 Зх + — Зу + -7z%3D -7 Зx + 2у + - 6z %3D0 Зх + 2z %3D - 6 - 9x + - 7y = - 3 - 9x + - 7y + - 3z = 0 3x + - 3y + - 7z = - 7 Зх + — Зу + —-7z%3 -7 3x + 2y = - 6 3x + 2y = - 6 - 9x + - 7y = - 3 - 9x + - 7z = - 3

Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u1, u2, u3, u4, and u5. Then verify your solution. (Enter your answer in terms of u1, u2, u3, u4, and u5.)v     =     (6, 1, −10, 11, 8 )u1     =     (1, 2, −3, 4, −1)u2     =     (1, 2, 0, 2, 1)u3     =     (0, 1, 1, 1, −4)u4     =     (2, 1, −1, 2, 1)u5     =     (0, 2, 2, −1, −1)

Write the system of equations as an augmented matrix -r 4b 250 - 2r + 7b 350 - - 4r + 156 + 150 - ||