1,963 Answered Questions for the topic linear algebra

Linear Algebra

11/16/20

Find the matrix of the linear transformation 𝑇:ℝ3→ℝ3 which projects a vector onto the plane π‘₯βˆ’π‘¦+2𝑧=0.
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Linear Algebra

11/15/20

Find the matrix of the linear transformation 𝑇:ℝ2→ℝ2 which reflects a vector into the line 𝑦=3π‘₯.
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Linear Algebra Math Algebra 2 Maths

11/15/20

Linear Algebra - Linear Combination of Vectors
Consider the vectors u = (1, 2,-1) and w = (6, 4, 2) in R3, show that w = (9, 2, 7) isa linear combination of u and v and that w0 = (4, -1, 8) is not a linear combinationof u and v.
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Linear Algebra Math Algebra 1

11/12/20

Find the x and y-intercept
Find the x and y intercept of 12x - 15y = 30
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11/09/20

Need help with this question
A line as a slope of 4/7 and a passes through the point (-14, 3). Write an equation for the line.
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Linear Algebra Math Algebra Maths

11/09/20

Linear Algebra Question - Vector Spaces and Vector Subspaces

Can I have help with the following question related to the concept vector 'subspaces'?Question : Let X and Y be vector subspaces of a vector space V over a field F, (V,+,β€’,F).Prove that the... more
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Linear Algebra

11/09/20

Write equations of parallel and perpendicular lines

Write the equation of a line that isΒ parallelΒ toΒ y=βˆ’32xβˆ’1y=βˆ’23​xβˆ’1y, equals, minus, start fraction, 3, divided by, 2, end fraction, x, minus, 1Β and that passes through the pointΒ (4,6)(4,6)left... more
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Linear Algebra Math Algebra 2 Algebra

11/08/20

Linear Algebra : Span of Vectors
Determine whether the following polynomials span P2:p1 = 1 - x + 2x2 ; p2 = 3 + x ; p3 = 5 - x + 4x2 ; p4 = -2 + 2x + 2x2
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Linear Algebra

11/06/20

graphing proportional and nonproportional relationships
the value of y varies directly with x. and y=-3 when x=0.75ive come up with the equation y=-4x How do you graph that on a coordinate plane
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Linear Algebra

11/05/20

Slope and graphs
Graph the slope of 5/3x
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Linear Algebra Math Calculus

11/04/20

Assume that 𝑒⋅𝑣=3, ‖𝑒‖=8, and ‖𝑣‖=4. What is the value of 8𝑒⋅(π‘’βˆ’9𝑣)?
Assume that 𝑒⋅𝑣=3, ‖𝑒‖=8, and ‖𝑣‖=4. What is the value of 8𝑒⋅(π‘’βˆ’9𝑣)?
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Linear Algebra

11/04/20

(10 pts) Calculate the coordinates of the vector x = (9, βˆ’17, βˆ’12)T with respect to a basis B in R 3 that consists of the vectors u = (βˆ’1, 0, βˆ’5)T , v = (3, βˆ’6, βˆ’3)T and w = (βˆ’3, 5, 1)T !
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Linear Algebra

11/04/20

Suppose that the line β„“ is represented by 𝐫(𝑑)=⟨14+2𝑑,17+4𝑑,36+8π‘‘βŸ© and the plane 𝑃 is represented by 2π‘₯+4𝑦+6𝑧=6.
1. Find the intersection of the line β„“ and the plane 𝑃. Write your answer as a point (π‘Ž,𝑏,𝑐) where π‘Ž, 𝑏, and 𝑐 are numbers. 2. Find the cosine of the angle πœƒbetween the line β„“ and the normal... more
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Linear Algebra Math

11/04/20

Find the intersection of the line and plane: 2π‘₯βˆ’4𝑦+𝑧=38, 𝐫(𝑑)=⟨2,βˆ’1,0⟩+π‘‘βŸ¨2,βˆ’2,βˆ’2⟩
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Linear Algebra

11/04/20

Linear Algebra, advanced mathematics
Okay, let e1 = (1,0), e2 = (0,1), y1 = (2,5), and y2=(-1,6). Let T: R2 β†’R2 be a transformation that maps e1 into y1 and maps e2 into y2. Find the image of (5, -3) under T. Is T onto? Is it... more
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Linear Algebra

11/03/20

Find the point slope
Find the point slope form for the equation of the line satisfying the conditions.Passing through (5,3) and (8,5)
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Linear Algebra

11/03/20

Find the line of intersection of the planes π‘₯+π‘¦βˆ’2𝑧=2 and 2π‘₯βˆ’π‘¦+𝑧=1.
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Linear Algebra

11/03/20

Find the line of intersection of the planes π‘₯+π‘¦βˆ’2𝑧=2 and 2π‘₯βˆ’π‘¦+𝑧=1.
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Linear Algebra

11/02/20

Find the line of intersection of the planes π‘₯+π‘¦βˆ’2𝑧=2 and 2π‘₯βˆ’π‘¦+𝑧=1.
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Linear Algebra Algebra 2

11/02/20

please help very quickly! please!
Question 1: Harry is organizing a picnic. He can spend at most $24.00 on beverages. Iced tea costs $2.00 per gallon and lemonade costs $2.50 per gallon. If x represents the number of gallons of... more
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Linear Algebra

10/31/20

Gram-Schmidt Orthogonalization
How does Gram-Schmidt Orthogonalization work, and why should we do it?
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Linear Algebra Algebra

10/31/20

Vector Spaces - Linear Algebra
Let R and C be the field of real numbers and the field of complex numbers, respectively. Let Mm,n(R) be the set of all m Γ— n matrices over R and let Mn(R) = Mn,n(R). Let R 3 = {(x, y, z) : x, y, z... more
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Linear Algebra

10/29/20

please help on this ive tried multiple times but can't seem to get it right

Kasonga is 38 inches tall. He isΒ 4/5Β as tall as his brother. How tall is his brother?Round your answer to the nearest inch.
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Linear Algebra

10/29/20

Help pleaseeeeeeeeeee
Harry is 36 inches tall. He is 6/7 as tall as his brother. How tall is his brother? Round your answer to the nearest inch.
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Linear Algebra Math Algebra 2

10/29/20

Write the standard form of the equation of the line described. Through: (1,5), parallel to y=x+5y=x+5
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