The characteristic of Z6 x Z, is 18.

Q: Determine all values of x so that det(A) = 0, where A =

A: Given: The matrix A is x12x. Calculation: The determinant of the matrix x12x can be obtained as,…

Q: Solve the given SLE using LU-Factorization X, +x, +x3 = 3 X, - x, + 4x; = 4 2x, +3x, – 5x; = 0 -

A:

Q: Find z such that: IZI = 2, arg Z : 6.

A:

Q: Find the value of c such that enc = 7 c= In

A:

Q: Which of the following is homogenous of smallest degree? (A) In x - In y B x+y x-y C √x-y x² + y4 X…

A:

Q: Let A Find grad(div( A ) %3D

A:

Q: If Z= In{x² +y²), find !

A: Given: z=lnx2+y2 To Find: ∂2z∂x2+∂2z∂y2

Q: How did they calculate what T does to the elements of B?

A: You want to know "How did they calculate what T does to the elements of B?" We have  B=1, x, x2, x3…

Q: If the characteristic function of a RV X is f,(@) and if Y = aX + b, then O,(@) = ibo e

A:

Q: if A- 2. 1- then verify that. A Satisfy its own characteristic. equation and also find A".

A:

Q: Find the d. c. of from definition.

A: Introduction :

Q: If z- 6xy + y, find z, and Zy

A:

Q: Let xe" and yer show that <xiy)=ytx is on imer product %3D

A: We have to show that &lt;x,y&gt; = y*x is an inner product

Q: Suppose z = a+ bi, w = u + iv, and

A:

Q: find the values of c that satisfy Rolle's Theorem

A:

Q: Find the Re and Im parts of exp(z?)

A:

Q: Each

A: We explain, Why given statement is incorrect.

Q: (b) Use part (a) to show that f (T) is either a transposition disjoint transpositions. or a product…

A:

Q: 7. (a) Find all the values of z such that e = 1+ i.

A:

Q: Find , zdxdydz on [0,1] × [0,2] ×x [0,3]

A:

Q: Let P3 have the inner product

A: Given, pt=t2 and qt=2t-3. given by evaluation -2,-1,0,1, and 2. p-2=4q-2=-4-3=-7 p-1=1q-1=-2-3=-5…

Q: Find an example for which (zc)d ≠ zcd with z ≠ 0.

A:

Q: Which of the following is homogenous of smallest degree? A In x - In y x-y B /x-y x4+y* x+y

A: Let's find.

Q: Prove: If the characteristic equation of ay" + by' + cy = 0

A:

Q: If e ispure imaginary What Restriction is placed on z ?

A:

Q: Find дхду of z = In(x² – y)

A:

Q: Determine the zero(s) of m(x) = 7 – 3x. x =

A: The equation is given by mx = 7-3x                                       ........1 To evaluate: The…

Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (1,2): (4, 3) and (7, 3). Then…

A:

Q: z has a power (z) is

A:

Q: Which of these best describes T?

A:

Q: 1. Do not use a theorem to find the ff. Z if yz? + z = 5xy – 1. %3D

A: In the multivariable function, if we have to find the partial derivative of one variable with…

Q: Solve the given SLE using LU-Factorization X + x2 + x3 = 3 X, - x2 + 4x, = 4 2x +3x, — 5х, %3D 0 |

A: Given SLEx+y+z=3x-y+4z=42x+3y-5z=0convertit in to matrix form1111-1423-5xyz=340convert it in to…

Q: The characteristic of Zs[x]/ is 6. O None of the choices

A:

Q: Use the diagram shown. В C 主 G 丰 Which is a needed step to prove that AABF EAEDG

A:

Q: -3 [-1+v3i]

A: Explanation of the answer is as follows

Q: Represent in the Argand Diagram all such z for which |z − 5i| > 8

A: Any complex number:z=x+iy can be represented in the argand plane. For any complex number:z=x+iy, it…

Q: In ALMN, LN is extended through point N to point 0, mZMNO = (5x – 13)°- mZNLM = (x – 4)°, and m/LMN…

A: Solution-

Q: Find all values of æ for which rank(A) = 2.

A:

Q: Given the function z = In (2xy + e3x) - 5y, %3D az a. ax

A: Since, we have to find the partial derivatives ∂z∂x and ∂z∂y of functiongiven by z=ln…

Q: Prove the followling identites 9) A-7-A 2. gn gntt

A: a) Given, ∆-∇=∆∇ Take LHS, ∆∇fx=∆∇fx Since, ∇fx=fx-fx-h ; Here h is the step size. and ∆fx=fx+h-fx

Q: Solve the given SLE using LU-Factorization X, + x2 + x3 = 3 X, - x, + 4x, = 4 2x, +3x, – 5x; = %D

A:

Q: Use Green Theorem to Evaluate y x²dx – x²dy where C is left half of x² + y² = 25

A: Note that left half of the circle x2+y2=25 means the second and third quadrants. Now, in the second…

Q: Given z = , show that ху xy(Zxx + Zyy) у3 — х3 x²y2 2.

A:

Q: Determine whether T={(a, -a) | a EZ} is a subring of ZxZ-

A:

Q: Represent in the Argand Diagram all such z for which |z+ 15 – 9i| <1

A:

Q: Let z = 2 - 3xy?+ x². Zay %3D Zyy

A:

Q: Use Green Theorem to Evaluate |y x²dx – x²dy where C is left half of x² + y² = 25

A: