Let 3 -5 A = and B = 2 -3 ] (a) Find AB, A1, and B-1. AB = 1/2 A-1 %3D 1 B-1 %3D (b) Show that (AB)-1 = B-1A¬1, (AB)-1 %3D B-A-1 %3D

Q: 1. у%3Dх+5 2. у%3Dх+ 12 3 y=x-10 y= -12 y=6 y=-18

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Q: then 7(1 - а)М? + 6(1 - а) Мт %3D ВM?, 7(1 - а)т? + 6(1 — а)Мт %3D Вт?, Subtracting we obtain Y(1 –…

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Q: Question 32 1 Point :/ (212- 4x +4) dr 2r² – . Evaluate: (А) 14 (в) 12 32 3 38 3

A: Using integration formulas we will evaluate the given integral as shown below

Q: Find u x v, v x u, and v x v. u = 5i + 9k v = 2i + 9j – 4k. (a) U X V (b) (c) v x v

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Q: I. State the direction in which the parabola opens. 1.х — 5 %3D (у—3) 2. х — 7 %3D- (у — 5)? 3. у +3…

A: We need to find direction in which parabola opens.

Q: 1- det ( Ä') = 4 -1 2 1 4 A = 2- det (adj (A ) = 1 4 -2 4 0 1 3 4 3- adj ( A) =

A:

Q: [6 2] B 1 0 3 3 4 | Given the matrices A ,and C = solve -4 for the matrix X in the equation (A+ 5B)…

A: From the given problem: A=3-1-40 , B6210 and C=-3411 A+5BX=C  .........(1) Let the matrix  X=abcd…

Q: Q3. Solve by Matrix Inversion Method the following set of equation: -1] [X1 1 X2 = 10 X3 -3 1 [2] 2…

A: We can write our question in the form of AX = B, and we need to find the X. For that find X = A-1B.

Q: Which expression is equivalent to x°y (x- 16)- 9(x- 16)? (1) roy-16x°y-9x- 144 (2) (y* – 9)(x + 2)…

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Q: Find u x v, v x u, and v x v. u = 4i + 7k v = 6i + 9j - 5k. (a) ux v (b) (c) V x u V X V

A: We have given two vectors u and v and we want to find the cross product of the given vectors in…

Q: [1 Let A = -2 2 -1 3 1 0 li o -1 B = 1 0 -2 1 1 and C 0 0 Compute BAT – C³.

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Q: 11.) Solve using matrices and Gaussian elimination: x + y + z = -3 -x + 3y + 2z = -8 2x + z = -3

A: Given: x+y+z=-3 -x+3y+2z=-8 2x+z=-3

Q: Q.2) Use Inverse matrix method to solve the following equations: *- y +z = 1 2r – 2y + 2: = 2 -3r +…

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Q: 3 Evaluate: ₁ S 1²,₁ S² [(x²-x²)²] dx dy x+y

A: To evaluate the given double integral.∫-14∫03x2-y22x+y dx dy

Q: Question 2 12x +1 dxp. (2x- 1)2 (3x + 2)² Evaluate:

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Q: If z1 = -4 - j5, z2 = -3 + j2 , and z3 = 2 - j3 , what is Re ( ? Note: z* is the complex conjugate…

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Q: T(5T(3) 21(4) Evaluate (A) I = - 314 9. (C) Г %D 319 8. (B) Г- 315 12 (D) Г%D 325 (A) (В) (С) (D)

A: We have to find gamma function of given function.

Q: QI. Write the following models using matrix notation, Y = XB +e: (a) Multiple regression, Y =…

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Q: 3(x-5) = 1 %3D 27 3. 3. 3D 3 = 3 X =

A: An exponential function is a one-to-one function. So if we have ax=ay then we have x=y. Solving an…

Q: compute the indicated matrices 3D - 2A

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Q: Q.2) Use Inverse matrix method to solve the following equations: x - y + 2 = 1 2.x – 2y – 2z = 2…

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Q: -7x+/y=-19 -2.x+ 3y =-19

A: Given query is to find the solution of system of equation.

Q: (10x-45) mNP MNOP (6r-1) b. 3.

A:

Q: Evaluate ( ax"+5ax*+12ax*+llax²+3ax+10a x4+5z³+14x²+17x+7 dx * + 24. + In |a2 + 3x + 7| - arctan In…

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Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: . (xlny + xy) + (ylnx + xy)y' = 0

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.