The following augmented matrices represent systems of linear equations in variab

Question

The following augmented matrices represent systems of linear equations in variables x, y, and z. In each case either state the general solution or that no solution exists. [1 0 0 0 1 0 0 0 1 0 0 0] [1 0 0 0 1 0 2 2 0 5 0 7] [1 0 0 2 0 0 0 1 0 1 3 0] Box 1 contains 7 white marbles and 8 blue marbles. Box 2 contains 4 white marbles and 6 blue marbles. A marble is drawn at random from one of the boxes. Draw a tree diagram representing this data, listing all outcomes and their probabilities. What is the probability that the drawn marble is blue? If the drawn marble is blue, what is the probability that it came from Box 1 ? A class of 18 students contains 10 women and 8 men. A committee of 4 is to be chosen at random, what is the probability that 2 women and 2 man are chosen? Exactly 3 women are chosen? At least 2 men are chosen.

Explanation / Answer

14) IN MATRIX A THERE WHERE BE A GENERAL SOLUTION OF X = 0 AND Y = 0

AS THE DETERMINANT OF THE MATRIX = 1

B) IN MATRIX TWO THERE IS NO SOLUTION BECAUSE THE DETERMINANT OF THE MATRIX IS ZERO

C) IN MATRIX THREE ALSO THE DETERMINANT OF THE MATRIX IS ZRO THEREFORE THERE IS NO GENERAL SOLUTION.

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