Example 9 If ā =(3, 2,–1), 6 =(2,0,–3), č =(1,-2, 3) What is the value of 2a + 6 + 3c? And find its magnitude

Q: What do you mean by cofactor and also define the same?

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Q: 8-9 Let A = 2 3 (a) Find 5A +6B. 5A +6B = and B= 9-2 Complete parts a through d.

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Q: transformations of y=-3Ix+5I+6

A: This graph of required function can be obtained by transformations as explained in step 2 and 3.

Q: In AB, the coordinate of point A is -4, and the coordinate of point B is 4. What is the coordinate…

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Q: bläi 4 * find each of a,& b 3 - i 2 – 2i - If a + ib = 2+ 3i then 1– 5i' -

A: Given :         a + ib = 3 - i2 + 3i + 2 - 2i1 - 5i   To find a and b.

Q: (10c + d)° (5b - 5c)º\ (2d 6e)° (а + + (a + 30)° 2b)° (4f + 4e)° 60°

A: Note - According to Bartleby guidelines, we are supposed to do only one question. If u want more to…

Q: Q4) Answer two only 5-3i, a) Evaluate i 2+4i b) solve the following to find c and d (3-2 i)(c+id) =…

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Q: Simplify each of the following. 1) a-a a 2) (2a*b)(4ab?) 3) (6x)(-3x³)

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Q: こ ( 6n +1 (b) Σ (-2i)". Is it entire? 2n +5

A: Here,  we need to find the radius of convergence for the given series. Also, we will check whether…

Q: If A = [2 i 9+ 4i 1 3 + 3i then

A: Given: A=2-i9+4i13+3i

Q: Solue the following equation by using Cramer's rule x₁ - x₂ + x3 2x₁ + 33₂+ 4x3 6x₁5x2-723 = 13 20 =…

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Q: -3 -5 4 5 -3 2 Let A = -1 1 3.) (AB) C 4.) CTC 5.) 3A + 4B - 5C -4 B -1 1 -1 3 -3 3 5 -5 5 C = 2 -1…

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Q: 1 Given that x 2 Vx, express 4* + 4* as a single power of 4.

A: We have to express 4x + 4x as a single power of 4.

Q: (x + 5)(x - 2)dz Find + C

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Q: 8 -9 9 -2 LOMA- [2 ²3] and B-[37] Let = B= 1 (a) Find 5A + 6B. 94-57 5A +6B = 28 21 (b) Find 6A-5B.…

A: Addition and subtraction of Matrices

Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

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Q: Simplify completely: 22+5 3z +. z十1 z-2

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Q: Question 10 Let a = 7i + 5j and b = - 5i – 6j. Find a · b

A: Here I am attaching image so that you understand each and every step.

Q: If A = -4 + 2i and B = 3 – 5i, in which quadrant does A + 2B lie?

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Q: If Z=x+iy and 3x+(3x-y)i=4-6i then Z . * -4/3+10i O 4/3-10i O 4/3+10i -4/3-10i

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Q: Question 12 > Let a = - 6ỉ – 73 and b = – 47 – 33. Find ä · |

A: In this,we find dot product of given vectors a& b.

Q: giv component förm Find (-2, 7) (6, -9). o/O (0.0)

A: We apply formula <a1, b1> . <a2, b2> => < a1.a2 , b1.b2>

Q: 3 - 2 If A = 0 4 1 then the cofactor C23 = -2 3

A: We can find the co factor as below.

Q: 3. What are the roots of - 5x2 36 =0 1. (3i, -3i,-2, 2} 2. (-2i, 2i,-3, 3} 3. (9,-4} 4. {-9,9,-4i,…

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Q: 9- Find 5√10 – 3x² dx

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Q: QUESTION 6 + 2a -2 with a =2, a,=7. Given a n- 1 0. What is A and B if a =A2" +B (– 1)" 3 аnd - 1 3…

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Q: If z₁ = 5-i, z₂ = 1-2¡ then evaluate 32₂ +22₁-5- z, 2z, -3z₂ +3-i

A: Use complex number concept

Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: Find the distance from (-2,-1) to (3,2)

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Q: Solve unknowns using cramer's rule: X1+ 2x2-1 = -X3 3x1+ 3x2 + X3 = 2 -3 + 2x2+ X1= X3

A: To solve the unknowns by using Cramer's rule.x1+2x2-1=-x33x1+3x2+x3=2-3+2x2+x1=x3

Q: R (5y + 14) (3x)' (8y-13)° (2r + 1)° S. A) 54° B) 49° C) 59° D) 72° E) 24°

A: Here, ∠QRP &∠RPS are alternate angles. So, ∠QRP =∠RPS...(1)

Q: 3 2. If B = 1 show that B? - 5B+7I =0 [-1 2]

A: Given that B=31−12 To show that: B2−5B+7I=0

Q: 25y¹V + 15y"" - 5y" − 12y' + 16y = 0

A: 25yIV+15y'''-5y''-12y'+16y=0