Linear Algebra Answers

Solve for x, y, z, and t in the matrix equation below.  3x y − x t + 1 2 z t − z  =  3 1 7 2 3  .

Suppose that A, B, C, and D are matrices with the following sizes: A (5 × 2), B (4 × 2), C (4 × 5), D (4 × 5) Determine in each in each of the following case whether a product is defined. If it is so, then give the size of the resulting matrix. [6] (i) DC, (ii) −CA + B, (iii) CD − D.

A basketball team has to raise $750 for new uniforms. The players have raised $150 from food sales. To raise the rest, they are holding a shoot-out challenge. In total, 30 teams have signed up. How much should each team pay

Using GAUSS –JORDON Method, find the Inverse of the following matrix :

1 2 -1 4

2 3 2 0

3 1 0 3

2 0 2 1

The cat food is sold in tins containing 500 g.

Write down the matrix M such that the product XM will show, for each brand,

the total cost, in cents, of buying ten tins at both stores during May.

Find all values of lemth€C such that lemth(1+2i, 5+4i) =(3+2i, 6-i)

Show that in the definition of a vector space v the condition about existence of additive inverse can be replaced with the condition:0v=v for all v€V

What are the domain and range for these equations?

1. f(x)= square root of (x-1)
2. f(x)=6x-1/1-2x
3. the inverse of function f(x) = square root of (x-1)

Use the CRAMMER'S RULE to solve these systems of linear equations.

5x+6y+7z=40

2x+4y+2z=34

x+3y+5z=30

Consider the following two functions;

1. f: R-R defined by f(x) = 4x-15.

2. g: RR-defined by f(x) = 15x³.

Prove that both f and g are one-to-one correspondence.