(a) Use matrix multiplication to find the image of the triangle with data 4 2 5 matrix D= under the transformation that reflects points through the 0 2 3 y - axis. Sketch both the original triangle and its image. 4 3 7 9 (b) Is b = -3 an eigenvector of - 4 -5 1 ? If so, find the eigenvalue.

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A: Topic = Linear equation

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A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

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A: Topic = Algebra

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.