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In mark each statement True or False. Justify each answer.
a. The equation Ax = b is referred to as a vector equation.
b. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution
c. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
d. The first entry in the product Ax is a sum of products.
e. If the columns of an m X n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
f. If A is an m n matrix and if the equation Ax = b is inconsistent for some b in Rm, then A cannot have a pivot position in every row.
What is the shape of the data?
A company is using linear depreciation and a machine that when new was worth $250,000 is valued at 60,000 after 5 years. Find the linear function that gives the value of the machine as a function of time. What is the value of the machine after 2 year..
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find the equation for the line that passes through the point (-2,-5) that is parallel to the line with the equation y=3/4x+8.
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