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1. Guassian Elimination is really just using the regular Elimination Method and applying the Triangular Form procedures to a set of linear equations, but without having to write down all the variables in the equations each time. This in itself simplifies the procedure and helps focus on the task. What is the ultimate goal of all these methods and procedures?
2. If you had 5 linear equations using 5 variables, what would the augmented matrix look like? What would this matrix look like in echelon form?
3. What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
4. Is it always possible to take any square matrix and write it in echelon form with all 1's along its main diagonal?
5. Can you take any two matrices and add them, subtract them and multiply them together?
6. Is it possible to divide two matrices?
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
The cost per unit of producing each product will be determined by whether a new union labor contract passes or fails. The cost per unit of each product, giving each contract result is shown in the following pay off table.
Find the maximum depth using the given function - What is her depth after 4 sec? After 6 sec?
Calculating Production and Material Consumption Rates, The Ottawa Coat company manufactures winter coats and spring jackets. The winter coat requires 4m of material while the spring jacket requires just 1m
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Prove that the regression line passes through the centroid
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From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.
Explanation to "Statistics - Probability" question Suppose you randomly place 'r' indistinguishable balls into 'n' boxes. (a) how many different ways do you have
A production process contains a machine that deteriorates rapidly in both quantity and output under heavy usage, so it is inspected at the end of each day. Immediately after inspection the condition of the machine is noted and classified into one ..
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
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