a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: If possible, write -1- 12x8r² as a linear combination of x -x², 2x + x² and 2x 1 + x². Otherwise,…

A: Let U={u1,u2,⋯,um} be m vectors of a vector space V. Let v∈V(F) then v can be expressed as linear…

Q: verify that A(B + C) = AB + AC

A: Now,

Q: verify that A + B = B + A

A:

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

A:

Q: Find / (+62+3) de + C

A:

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

A:

Q: 2. (3x+5)+(2x – 3)

A:

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: After three iterations, the Jacobi method applied with initial approximation (0) .(0) .(0) = x3 =…

A: To apply the Jacobi method applied with initial approximation.

Q: Find a + b, 2a + 3b, lal, and la - b|. a = (4, –3), b = (-2, 5) a + b = (9,2) (2,9) 2a + 3b =

A:

Q: Find the work done by the force field F(x,y) = (-y,x) in moving an object along the path y = V4 – x2…

A: Given force field Fx,y=−y,x and object moving along the path y=4−x2  from 2,0 to -2,0. We have to…

Q: -4x+8y= 24 6x-4y=-10

A:

Q: -5,4y+14-2y=4

A: Given ,  4y + 14 - 2y = 4     ....... (1)  We have to find value of y  (1) implies

Q: 4.) Simplify: -7x + 8 – (2x – 19)

A:

Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

A:

Q: Find a × b if b = (–6, 9, —15) and à = (4, −6, 10) (-3,-2,0) (0,0,0) (1,-1,-1) (-24,-54,-150)

A:

Q: (−1)n 4n (2 (x+3)" | with = Given the Power Series f(x) => n=0 ROC: Ra and IOC: (b, c)

A:

Q: a 2sin2x-3sinx +1 = in

A: Here, we need to find the exact solution from the trigonometric equation. In solution first, we use…

Q: (8,-1)+(2,1)

A:

Q: if (3a+4b) = 16 and ab = 4 . Find the value of (9a2+16b2)

A:

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: Compute (2, -3,4) • ( − 5,4,1). (2, -3,4) • (-5,4,1) = (Simplify your answer.)

A:

Q: verify that 5A = 3A + 2A

A: Given that A=341127. Compute 3A+2A as follows.

Q: Q2, foo - [2x+13, find Pc-32)

A:

Q: Flxg) =(-3(3n7) ddy Ix²² 2. Pady

A: Case1: The second order partial derivative is simplified and written as, Calculate the derivative…

Q: Find the difference between BC and CA where A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4).

A: Given A=(1,2,3) B=(3,-1,4) C=(-2,3,-4)

Q: O Divide x5- 3x" + x + 5x -2 bx x*+l.

A: