Let A be a 3 x 3 matrix so that: (i) Ax = 0 has exactly two basic solutions. %3D (ii) A – 31 has rank 2. Use this information to answer the following questions. (a) Find dim null(A-31), and determine the number of basic solutions to (A- 31)x = 0. (b) Is A diagonalizable? Explain.

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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.