(p) X {(x1, 22, 3)| x1- 2-23} is orthogonal to Y = {(y1,y2, y3) 1y1+y2+2y3 T 2. Let 1, 2, 3 be linearly independent vectors in R" and let y1 x1 ax2, Y2 = x2 + X3, and y3=3+x1 Are y1, y2, 3y3 linearly independent? Prove your answer. 3. Whether the following vectors x + 2,x +1, 1 are linearly independent in P3. 1 2 3 4 2 1-3 2 3 3 0 4. Let A = 2 Find a basis of N(A),/row space of A/ column space of A. (b) Find nullity (A) and rank A. 5. Let A and B be two n xn matrices. Suppose that AB On. Show that rank A + rank B

Q: 3x 8

A: Given  e3x=8 Taking ln (i.e., loge ) on both sides we get ln (e3x)=ln 8 ⇒3x=ln 8          [Applying…

Q: 16. Find mBC 240 D

A:

Q: 24 30

A:

Q: 6. 41 4 if possible. - 2 4 Multiply 4 - 2 1. If not possible, enter DNE. Add Work

A: Let A =-2444-21The number of rows of A is 2 and number of columns is 3.Hence the order of the matrix…

Q: 1 10

A: Explanation of the answer is as follows

Q: 8x) dr

A:

Q: d) +4 dx

A: The answer is

Q: 4-÷2 3.

A: The given expression is

Q: Multiply. 3 x-4 3 3 2 X+4

A:

Q: 4 11  ✕  5 9

A: Consider the given expression as 411×59. 411×59=4×511×9=2099

Q: S A 3 10 11 4 2 C 9 5 X 7 B

A: Note: Hi! Thank you for the question. Since this is a follow-up question with a partially correct…

Q: A. A, if A = 5 3 7 3 10/

A:

Q: what is five tmes 2

A: Five time 2 means multiplication of 5 and 2

Q: 62 28

A: A circle is given below as shown We have to find x°

Q: 12 wikon 3.

A:

Q: I O1 tHe TegfonI petweell the IIIE

A:

Q: 2n aO 1p0 .b TT 2 IT.dO

A:

Q: 5 23 4 48 1 5 75

A: Given       5  2 3 − 4 4 8¯      1  5 7 5

Q: (LCM)of 5 and 2

A: Refer to the question we have to evaluate the LCM of 5 and 2,

Q: Fully simplify. (2/-54)(10/48)

A: The detailed solution is as follows below:

Q: 14 1

A: Given triangle is What is another side length?

Q: 3x 14)

A:

Q: FIND n +n?

A: Check convergence of ∑n=1∞ 2n+n2:Apply the constant multiplication rule:  ∑c·an=c·∑an=2·∑n=1∞…

Q: с 4 B 12 A

A:

Q: 12 2х A = 2x

A: (6(a):- Given matrix Q is                              6(b) Singular Matrix:- A matrix is called…

Q: Cx-1) スキ56

A:

Q: A is a 4x3 matrix, what is the largest possible dimension of the row space of A? If A is a 3x4…

A: If A is a 4×3 matrix, then we need to find the largest possible dimension of the row space of A.…

Q: 4x 17) 413

A: Given :4x4y24y3

Q: m21, m22, m3 2 56 43 3.

A: Given diagram is,

Q: How many elements does it contain?  I forgot to add that part.

A: From the above part we haven(C) = n(B) ={ (1,4),(4,1),(2,3),(3,2) }n(CB) = { (2,3),(3,2) }

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.