Which of the following is FALSE? Symmetric matrices are always diagonalizable. Symmetric matrices are always invertible. Eigenvectors of a symmetric matrix which come from different eigenspaces must be orthogonal. Eigenvectors of a symmetric matrix which come from different eigenspaces must be linearly independent.

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A: A is diagonalizable if there exists a invertible matrix P such that A=PDP-1  where D is the diagonal…

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A: Sandwich Theorem/ Squeeze Theorem: If f(x)≤g(x)≤h(x) and if  limx→af(x)=limx→ah(x)=L, then…

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A: Solution: The objective is to find the value of x

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A: Given that  E(X) = 24, V(X) = 36 And losses, Y = 105 - 3.5X.

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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.