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Compute the quantities in Exercises 1–8 using the
u =
6.
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Linear Algebra and Its Applications (5th Edition)
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- Show that the vector a =(-1,13, – 5)can be written as a linear combination of b= (1, 4, – 2) and c= (3, – 5, 1). 10.arrow_forwardThe following question is from linear algebra first year: Factors the vector (6, -5, -1)t into three components a,b,c that satisfy the following conditions: a depends on (2,0,1)t, b depends on (1,2, 0)t and c is orthogonal to a and b. Please show it step by step. Can we get integers as answers?arrow_forwardThe following question is from linear algebra : Factors the vector (6, -5, -1)t into three components a,b,c that satisfy the following conditions: a depends on (2,0,1)t, b depends on (1,2, 0)t and c is orthogonal to a and b. Please show it step by step.arrow_forward
- Exercise 3. Read Example 3 (p. 739). Explain how the geometric meaning of the cross product helps solve this example.We won’t be covering the last two subsections, but they might be worth taking a look at. The subsection “Torque” (p. 739 – 740) covers a physical application of the cross product. While the last subsection “Triple or Box Product” (p. 740 – 741) goes over a geometric way that the dot product and cross product interact with each other.arrow_forwardWhat is (A - B) × (A + B) for the two vectors * A = i + 2j – k, B = –2i + 3j + karrow_forward5. Show that the vectors a = 3i-j+ 4k, b =i-3j-2k and e = 4i– 3j+2k are linearly independent. Find numbers a, B and y such that d = 2i + 3j – k can be expressed in the form d= aa + Bb + 7c.arrow_forward
- 6. Determine if the vectors ả = [−1,5,3], b = [−2, 4, 7], and ở = [10,7, 1] are coplanar.arrow_forwardOne of the following vectors lies in span{ 2+x + æ?, 3+- 2x2 } (A) 4+ x - 7x? (B) 4+ x – 4x? (C) 4+ x-6x? (D) 4 +x - 3a? (E) 4+ x- 5a2arrow_forward2) Determine if the vectors are Linearly Independent or Linearly Dependent. - 5 -2 =2x(2) -3 x3) -(3) – 13] 4arrow_forward
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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