# Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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 Algebra: Linear Algebra (NOT Linear Equations) Solvers Lessons Answers archive Quiz In Depth

 Question 37978: find f(g(x))when f(x)is x-1 and g(x) is 2x squared Click here to see answer by fractalier(2101)

 Question 38555: Solve the linear system: x+2y= 1 -x+y= -1 Click here to see answer by lyra(94)

 Question 38081: How are zeros,x-intercenpts,or soluton relate to the line of symmertry? Click here to see answer by rapaljer(4667)

 Question 36646: This is my second and last question. This is not in a textbook. a.)Let T be a linear operator on V. SHow that if (Tu|v)=0 for every u,v in V, then T is the zero operator on V. b.)Prove the Generalized Pythagorean Theorem: Suppose {v1,v2,...,vn} is an orthogonal set of vectors. Then ||v1+v2+...+vn||^2=||v1||^2+...||v2||^2+...+||vn||^2 For (a.) I think you fix u and get it, but I don't understand how. For (b.) Do I only have to do this: ||v1+v2+...+vn||^2=(v2+v2+...vn|v1+v2+...+vn) =(v1|v1)+(v2|v2)+...(vn|vn) since the vectors are orthog. =||v1||^2+...||v2||^2+...+||vn||^2 Is this all i have to do or is there more steps in there? Click here to see answer by venugopalramana(3286)

 Question 39022: Can you help me solve this problem: 3,520 ft =_____miles Click here to see answer by fractalier(2101)

 Question 37810: Given f(x)=4x-3 and g(x)=2x(to the power of 2)-5 find f[g(-1)] and g[f(-1)]. Click here to see answer by Nate(3500)

 Question 39282: Find an equation of the line through the point (4,5) and perpendicular to the line passing through the points (-1,3) and (2,9). Click here to see answer by stanbon(57282)

 Question 39279: Find the slope of the line containing the given points. (-a-b,p+q) and (a+b,p-q) Click here to see answer by longjonsilver(2297)

 Question 39551: I have to cnovert a linear distance from a fraction to a decimal and a decimal to a fraction. 57'- 11 7/16" what is this as a decimal? 14.81' what is this as a fraction? Click here to see answer by fractalier(2101)
 Question 39551: I have to cnovert a linear distance from a fraction to a decimal and a decimal to a fraction. 57'- 11 7/16" what is this as a decimal? 14.81' what is this as a fraction? Click here to see answer by stanbon(57282)

 Question 39593: Question; Determine whether or not W is a subspace of R3, with justification (general proof). W={(x,y,x+y); x and y are real)}. I have a trouble in proving(in general, not specific numbers) the closure axioms(addition and scalar multiplication). Please help! Click here to see answer by cininnatus(12)

 Question 39572: Proof of a singular matrix: I need to show (in general) that either matrix A is "singular" or "A^2 = A^(-1)". A is an n*n square matrix such that A^4 = A. I want to know how to do this problem and what happens if the exponent values are different.(for example, odd number exponents?) Click here to see answer by venugopalramana(3286)

 Question 40449: I posted a question just a few minutes ago and Nate answered it but he didn't exactly answer what I am looking for. My slope is 2/3 but how do I get this into y=mx+b format. The question is Line 2 is perpendicular to a line that passes through the points (4,-3) and (-2,6). I know that the slope is 2/3 but how do I get this into y=mx+b? Click here to see answer by smik(40)

 Question 40572: How does regression relate to linear algebra? What are some limitations of linear regression? What are the risks? Click here to see answer by stanbon(57282)

 Question 40520: Last one: Let T:R^n --> R^m be a linear transformation, and let {v1, v2, v3} be a linearly dependent set in R^n. Prove that the set {T(v1), T(v2), T(v3)} is linearly dependent. I have proved it closed under addition and scalar multiplication, but am not sure if this is correct? Should I be looking at the trivial solution? Thank you! Click here to see answer by kev82(148)

 Question 40518: I am struggling with this proof, please help! Prove that the row vectos of an n x n intertible matrix A form a basis for R^n Thank you! Glenna Click here to see answer by kev82(148)

 Question 40403: Proof of Hermitian matrices: If A and B are Hermitian matrices, I need to show that BA = AB iff AB is Hermitian, but I can't figure out how... Click here to see answer by venugopalramana(3286)

 Question 42104: What would be a good project for Algebra 2, sections 1-5? Click here to see answer by fractalier(2101)

 Question 42594: what do points on the line parallel on the y-axis in 3 units to the left of it have in common? Click here to see answer by rapaljer(4667)

 Question 42593: what do point on the line parallel onthe y-axis in 3-units to the left of it have in common? Click here to see answer by rapaljer(4667)

 Question 42596: what do points on the line parallel on the y-axis in 3 units to the left of it have in common?with a solution. Click here to see answer by rapaljer(4667)

 Question 42604: what do points on the line parallel to the y-axis in 3 units to the left of it have in common?with a summary. Click here to see answer by AnlytcPhil(1276)

 Question 42661: identify the vertex of the parabola y = x squared + 3 also y = 3x squared + 30x + 77 Click here to see answer by Nate(3500)

 Question 42660: Give the equation or other information on for a parabola, find the matching discription or graph. f(x)-a(x-h)2+k the 2 after ) is square a is less than 0 h is equal to 0 choices: a. the graph of f(x) does not intersect x-axis b. you can not tell from the information given c. the graph of f(x) interescts the x-axis at one point d. the graph of f(x) intersects the x-axis at two points Click here to see answer by Nate(3500)

 Question 42829: in what quadrant would a point lie if its abscissa and ordinate are equal? Click here to see answer by ichudov(499)

 Question 42834: what do points on the line parallel to the y-axis and 5-units to the left of it have in common?with a solution. Click here to see answer by josmiceli(9664)

 Question 42833: what is the distance from x-axis to (7,-2)?from the y-axis?with a solution. Click here to see answer by josmiceli(9664)

 Question 42821: The perimeter of a rectangle is given by p=2w+2h where w is the width and h is the height. Find the height if the perimeter is 52 inches and the width is 14 inches. I have worked the question out and came up with 13in. Would like to know if this is right. Thanks again for any help. Click here to see answer by josmiceli(9664)

 Question 42839: what can be said of points with equal abscissa?with equal ordinates? Click here to see answer by AnlytcPhil(1276)
 Question 42839: what can be said of points with equal abscissa?with equal ordinates? Click here to see answer by psbhowmick(529)

 Question 42826: what can be said of points with equal abscissas?with eqal ordinates. Click here to see answer by psbhowmick(529)

 Question 42831: what is the distance from x-axis to (7,-2)?from the y-axis? Click here to see answer by fractalier(2101)

 Question 42832: what is the distance from x-axis to (7,-2)?from the y-axis?with solution. Click here to see answer by fractalier(2101)

 Question 42830: what is the distance from x-axis to (7,-2)?from the y-axis? Click here to see answer by fractalier(2101)

 Question 42828: what do points on the parallel to the y-axis and 5-units to the left of it have in common? Click here to see answer by fractalier(2101)

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