(a) Similar matrices have the same characteristic polynomial. (b) Similar matrices have the same eigenvectors. (c) If A is diagonalizable, then the columns of A are linearly independent. (d) If v is an eigenvector of eigenvalue 5, then –v is eigenvector of eigenvalue –5.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: Determine whether the statement is true or false. fxy дх ду True O False

A: We have to determine given condition it is true or false

Q: d. A square is a trapezoid (Select ] e. Arhombus is a rectangle i Select )

A: We use properties of square, trapezoid, rectangle, and rhombus

Q: roue with alleast one-one exemple C. %3D Ja iffeg the gde va

A: (a) Let f(x) = x , c = 2 Then consider ∫abcf dx = ∫ab2x dx= 2x22ab= x2ab= b2-a2 Consider c∫abf dx =…

Q: Use the table to evaluates each expression, ☆(リ of 2 3 (gogle) 3 4 2 2 2

A: That's easy. Have a good day!!!

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Q: If p = "I had a bagel for breakfast" and q = "I had a sandwich for lunch," then translate ~ p→q into…

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Q: Vx3y(x < y)

A:

Q: Answer the following with positive, negative, or 0. The absolute value of zero is _____.

A: Question:- Answer the following with positive, negative, or 0. The absolute value of zero is   ?

Q: Complete each statement. If 4x=5y, then y and

A: simplification

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A: We have to evaluate the given  expression --8.

Q: Side Lengths Sum of Shorter Sides Triangle or Not? 4, 5, 6 2, 6, 9 4, 4, 4 10, 12, 22 5. 10. 12

A: A set of side lengths is given. We need to check whether the given set of sides form a triangle or…

Q: make the following statement true x=-1 iff, if or only if x2+2x+1

A: Let's find.

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.