Linear Algebra Answers

A company makes products A and B. Each unit of product A requires 1 unit of resource 1 and 5 units

of resource 2. Each unit of product B requires 5 units of resource 1 and 4 units of resource 2. If there

are 40 units of resource 1 and 140 units of resource 2 available, how many units of each product should

be produced if all the resources are to be used?

Solve for the determinant in the equation below. (10)

 1.7.1. 

4 −3 2

1 2 −2

2 −1 −4

 1.7.2

2 −2 1

2 2 1

4 1 3

Check whether 𝑇 ∶ ℝ2 → ℝ2

, defined by 𝑇 (𝑥, 𝑦) = (−𝑦, 𝑥) is a linear transformation.

2. State at least 2 application of cryptography in engineering.

"\\begin{Bmatrix}\n a \\\\\n b\n\\end{Bmatrix} = 1\/314*\\begin{bmatrix}\n 198 & -26 \\\\\n -26 & 5\n\\end{bmatrix}\\begin{Bmatrix}\n 1230 \\\\\n 6950\n\\end{Bmatrix}"

find the values for x, y, and z such the matrix below is skew symmetric.

0 x 3

2 y -1

z 1 0