(b) If Ax sistent for some b. O has a nonzero solution, then Ax = b must be incon- %3D (c) If T : R3 → R³ is an onto linear transformation, then T must also be one-to-one.

Q: Find (u - 2v) · (2u – v), given that u · u = 5, u. v = 6, and v · v = 9. %3D

A:

Q: 230 Find AB or BA, whichever is possible.

A: Given  problem:-

Q: Studying

A: Given information: Sample size n=10 Sample mean x¯=38 minutes Sample standard deviation s=6 minutes…

Q: 2x₁ + 5x₂ +3x3 = -1 10 x₁ + 30x₂ +10x3 = 1 40x₁ + 10x₂ +30x3 = -8

A:

Q: Simplity b-[b-Ca+b) - CB-Cb-a-b)J+2a]

A:

Q: Find an SVD for [-3 1]

A: The given problem is to find the singular value decomposition for the given matrix. Given matrix is…

Q: Check the following relation R on the set A = {1,2, 3, 4} is reflexive, symmetric and or transitive…

A: we have given a set  A = { 1, 2, 3, 4}  and R is a relation on the set A where R is defined as (a,…

Q: Sexe

A:

Q: curl(curl F)= grad(div F) - 2F

A:

Q: 4 x₁ +5x₂ +3 x3 = -27 2x₁ + 6x₂+2x3 = -15 2x₁ - x₂ + x3 = 12

A: The given system of linear equations, 4x1+5x2+3x3=-272x1+6x2+2x3=-152x1-x2+x3=12 We have to find…

Q: Long division

A: The given algebraic expression is: (2x5 – 4 x3 + 3 x2 + 5 x - 15) / (x2 - 5) Write the problem in…

Q: Find whether A and B are independent in the following case : (AB) = 256 , (aB) = 768 , (AB) = 48 ,…

A:

Q: 22. x + y = 2x + 3y = 3 15

A: Solve the linear equations  13x+47y= 32x+3y= 15

Q: [AB, C] = A[B, C] + [A, C|B (Proof that)

A: simply & expand each one we get. [AB, C] = ABC - CABA[B,C] = A(BC - CB) = ABC - ACB[A,C]B = (AC…

Q: 5x dy. 10.) Evaluate

A:

Q: (azb)۸(b2a) a=b صواب خطأ

A: Given statement is true Ans: true

Q: Linear algebra number 1 a and b show all work

A:

Q: Sx -1 xtan xdx

A: Solution of given question is written in below steps.

Q: ncos(5 Z)dz TU

A:

Q: - 2r1 + 13 I1, 12, 13, 14 ER T:R + R?, T

A:

Q: ProoF s- F(F(B))SB

A:

Q: -5 4 0 1 0 * 0 * 0 1 0. 0. . 1 0. 8. 0. 2 0.

A:

Q: Find DB 8+x 12 D. C 2x+20

A:

Q: linear Combination write of vi,V2,V3 as Vz (2,7,10),V,=(1,2,3),V2=(1,3,5), V3 =(!,s,9) %3D

A: Consider the given values. V=2,7,10V1=1,2,3V2=1,3,5V3=1,5,9 Let's the linear combination of the…

Q: linear algebra

A: 6. The given matrix is

Q: What is the dimension of the space spanned by 7. 3 3 1 6. 6 4 8. 0. 12

A:

Q: 14. 2x 8. 2x, 3x + 6x 2x

A:

Q: linear algebra   What does Span {v1,v2,v3} mean how  do I explain this

A: Solution:

Q: 1 2 x² +6x+18 -dx

A: A detailed solution is given below. We know that, ∫dx(x+a)2+a2 =  1a tan-1x+aa + c

Q: 81: Without evaluoting, show directly * = ? satiefy 2. %3D 2 -5

A:

Q: x² 2 =dx 2 √4+x²

A:

Q: cosh(i)

A: To find: The value of cosh-1i. Formula used: cosh-1x=ln-1+x2+x i2=-1 i=-1

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.