(i) There exists a matrix that is diagonalizable but not invertible. (j) If A is an eigenvalue of algebraic multiplicity 2, then the 2-eigenspace is 2-dimensional. (k) Matrices A and A' have the same eigenvalues with same multiplicities.

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!!!

Q: Express 4 as a linear combination of 72 and 104. Find x and y such that 4=72x+104y

A: We have to express 4 as a linear combination of 72 and 104  That is, we have to find x and y such…

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

A: The given statements are  p= "I had a bagel for breakfast" and q= " I had a sandwich for lunch,"…

Q: Write each of the following expressions as a" , where aE R, nE Z: 9°.3. 27

A:

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

Q: Evaluate each expression. -|-8|

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

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.