Find the value(s) of h for which the vectors are linearly dependent. [1 11.-5 8 h 6.

Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: (a) Let v, = and V3 = 2. -9 - Express v as a linear combination of those vectors. 8. Let v = 8 V =…

A: Here we have to find the vector.

Q: ONEGOToft, Q3: Express the sum of the Vectors AB and CD, givende four Points A(1,-1), B(2.0),…

A:

Q: Let a = 2 (-) (-3). 1 and b = What is a|²|b²+ la · b|²? -2 be two vectors.

A:

Q: Find the solution set of the following vector equation.

A: In this question, we solve the system of equations. Here, we write the system in the matrix form,…

Q: 6. Write DÉ as a linear combination of the vectors i and j a) D (9,-6) E (-7, 2) first write in…

A:

Q: as a linear combination of x = 7 4 and y = -3 Express the vector u -2

A: NOTE: Refresh your page if you can't see any equations. . write both vectors x and y in the matrix…

Q: 4. Subtract the vectors shown. (blue - green)

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Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: QI. Show that the vectors x, =(1,2,4), x, = (2,-1,3), x, (0,1,2) and x, =(-3,7,2) are linearly…

A:

Q: 40. Given a = (3, –4) and 5 = (1, 2). Find the vector a + 25. O a. (5,-8) Оь. ( 5,0) O c. (4,-4) O…

A:

Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

A:

Q: 40. Given a = (3,-4) and b = (1, 2). Find the vector a + 2b a. (5,-8) b.(5,0) c.(4,-4) d. (4,0)

A: Given,

Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. [:][ N 4 9…

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Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: Engg. Maths Memory Based Q. If the vectors (1. | 1. 2), (7,3, X. (2.3. 1) In R are Linearly…

A:

Q: Find the unit vector in the direction of the given vector. Write your answer in (a) component form…

A: According to our guidelines we can answer only 3 subparts or first questions. Kindly repost the…

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

A:

Q: Q4. Determine whether the vectors are linearly dependent or independent. v1=(4,-2, 2), v2 = (5, 4,…

A: v1=4-22, v2=54-3, v3=-793 We have to check whether the given vectors are linearly dependent or…

Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: () Let a = -2 and b= 1 be two vectors. What is |a|2|b|? - |a - b|² ?

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Q: Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

A:

Q: Leland got stung by a bee at a picnic. He took a 50 milligram dose of medicine to help relieve the…

A: The half life equation is  the equation Mt=A0.5th. Here, the initial amount is 50 and the half life…

Q: U₁ = U₂ = Evaluate the following linear combination of two vectors. 11 U1 ² [2] + ³ [3] = [0₂₁] U2

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Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.