# 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 7491: Find the slope of the line through the points A(−1, 6) and B(5, 2) Click here to see answer by arunpaul(104)

 Question 7492: If f(x) = x2 + 5, find f(a + h) − f(a) Click here to see answer by arunpaul(104)

 Question 7494: If P(4, −5) is a point on the graph of the function y = f(x), find the corresponding point on the graph of y = 2f(x − 6). Click here to see answer by arunpaul(104)

 Question 7546: Given f(x) = 5x + 7 and g(x) = x^2 + 7, find (g o f) (Composite functions) Click here to see answer by Earlsdon(6287)

 Question 7537: For f(x)=1/x^2-2x-8 , find the interval(s) where f(x) < 0. Click here to see answer by khwang(438)

 Question 7540: The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period? Click here to see answer by Earlsdon(6287)

 Question 7520: The figure shows the graphs of f(x) = x3 and g(x) = ax3. What can you conclude about the value of a? Click here to see answer by prince_abubu(198)

 Question 7538: Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the square of y. If x = 15 and y = 5, then w = 36. Click here to see answer by Earlsdon(6287)

 Question 7629: I have tried this over and over and can't figure out what I did wrong. I know that it is a simple mistake. Here we go: I am solving for both x & y. 5x+y=54 4x-y=36 I combined like terms and then (divided both sides by 9) Answer x=10 How do I solve for y? What am I missing? Click here to see answer by prabhjyot(164)

 Question 7733: Given that (3x – a)(x – 2)(x – 7) = 3x3 – 32x2 + 81x – 70, determine the value of a. Click here to see answer by khwang(438)

 Question 7781: trying to solve by substitution method, y= 2x + 8 y= -3 - 7 Click here to see answer by arunpaul(104)

 Question 7933: Hi everyone, I have a few questions about matrices. I usually bounce these off a classmate, but he's no there this week. Thanks for any help you can provide. -------------------------------------------------------------------------- Is it always possible using the elementary row operations for matrices to transform any square matrix into echelon form with all 1's along its main diagonal? Can you take any two matrices and add them, subtract them and multiply them together? Is it possible to divide two matrices? Click here to see answer by khwang(438)

 Question 7723: If f(x) = x(x + 3)(x – 1), use interval notation to give all values of x where f(x) > 0. Click here to see answer by khwang(438)

 Question 8082: My text(Anton Elem. L.Alg 8th ed) states on pg. 44 "If A is a square matrix, then we define the nonnegative powers of A to be... A^0 = I" So a matrix to the zeero power is the identity matrix. Is this true for ALL matricies, including a zero matrix. i.e. is [0]^0=[1]? My Ti-92 says it it is, but 0^0 is not 1. Why? Click here to see answer by khwang(438)

 Question 8159: is there any linear transformation from R^3 to R^2 defined by T(1,-1,1)=(1,0) T(1,1,1)=(0,1) Click here to see answer by khwang(438)

 Question 7732: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients. Click here to see answer by khwang(438)

 Question 8267: How do you find the slope of a line without using a graph? For example with the equation The slope of y = -X -9 Click here to see answer by Earlsdon(6287)

 Question 8548: The problem I am working on is for some reason just escaping me. It is 15x-4=6x+3 Click here to see answer by rapaljer(4667)

 Question 8606: write an equation for the line containing the indicated points. (0,0)and (3,30) Click here to see answer by glabow(165)

 Question 8896: 1; let v be the space of all polynomials over a field F of degree less or equal to 3 let D be a diff. operator from v to v 1; find the matrix A of D with respect to the basis {1,,x,x.x,x.x.x} of v . Click here to see answer by khwang(438)

 Question 9376: If xy=-3 and x2+ y2=12 then (x-y)2=? note: the "2" behind the varibles mean squared. and the (x-y)2 means squared. thanks Dean xy=-3 2xy=-6 x2+y2=12 x2+y2-2xy=12-2xy (x-y)2=12-*-6 (x-y)2=12+12 (x-y)2=24 Click here to see answer by jawaidak(3)

 Question 9386: The ages of the two brothers are in the ratio of 5:4. Four years ago their ages were in the ration of 11:8, find their present ages. Click here to see answer by mathmaven53(29)

 Question 9407: 22,985 IS WHAT PERCENTAGE OF \$34,505 11,520 IS WHAT PERCENTAGE OF \$34,505 Click here to see answer by rapaljer(4667)

 Question 7034: Good morning, Please help me with this problem. If y = -38 and y = 24 + 8x, what is the value of x? Thank you. Click here to see answer by jawaidak(3)

 Question 10199: teh variable =s x and y vary directly. Write an equation that relates the variables. Then find y when x=10. x=2, y=6 Click here to see answer by gsmani_iyer(180)

 Question 10991: What is the equation of the line containing the points (-3,2) and (-6,3)? Click here to see answer by rahman(247)