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

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Question 35493: Use Cramer's Rule to solve:
x+y+z=1
2x-y+3z=4
x-3y+z=1

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Question 35533: Prove that if λ is an eigencalue of an invertible matrix A and x is a corresponding eigenvector, then 1/λ is an eigenvalue of A inverese (A(-1)) , and x is a corresponding eigenvector
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Question 35843: Find a1 for the arithmetic sequence:
a7=40,a22=-100

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Question 35853: Solve the nonlinear system:
2x^2+y^2= 6
x^2-4y^2= -15

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Question 35855: Solve the linear system...if the system is inconsistent or dependent, so state:
3x+2y+z=2
4x-y+3z=-16
x+3y-z=12

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Question 35854: Solve the linear system - If the system is inconsistent or dependendent, so state:
14x-13y = 5
28x-26y=10

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Question 35842: Use the Gauss Jordan method to solve the system of equations:
x+y+2z=7
3x-y+z=10
2x+y-3z=-6

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Question 35914: If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution? If so, describe the graph of this situation...
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Question 35916: Evaluate:
0 2 3
0 1 0
1 5 7
(these numbers are inside of an absolute value sign)

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Question 35946: how do u answer this: 3(x+4)=2x
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Question 35903: solve for x (3x-2)(x+5)=4x+2
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Question 36147This question is from textbook algebra
: write an equation in slope intercept form of the line with each slope and y-intercept.
m=0,b=4
This question is from textbook algebra

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Question 36254: Can someone help me with this?
Evaluate 7m-3p for m = 3 and p = -5

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Question 36254: Can someone help me with this?
Evaluate 7m-3p for m = 3 and p = -5

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Question 35915: The following is a non-linear system...solve it:
1/x + 2/y = 3
2/x + 1/y = 4

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Question 36508: Can anyone help me with this question
evaluate a(2a+b)for a =-5 and b= -4

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Question 35787: Let V be a linear subspace of R^n. Suppose m vectors v1,...,vm span V. Prove that there is a subset of {v1,...,vm} which form a basis for V.
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Question 36822: the sum of the squares of two consecutive integers is 265. find the integers.

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Question 36820: if the product of two consecutive odd integers is decreased by one third the lessre the integer, the result is 250. find the integers.
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Question 36833: if a number is decreased by its square, the result is 2 over 9. find the number.

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Question 36832: if a number is increased by its square the result is 72.find the number.
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Question 36831: the difference of the squares of two consecutive integers is 21. find the integers.
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Question 36856: the difference of the squares of two consecutive integers is 21. find the itegers.
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Question 36855: a local park is 30 meters long by 20 meters wide .plans are being made to double the area by adding a strip at one end and another of the same width on one side. find the width of the strips.
Click here to see answer by checkley71(8405) About Me 

Question 36858: find two consecutive integers whose productis 552

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Question 36854: find two consecutive odd integers whose product is 1445.
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Question 36897: a rectangular picture is 12 by 16 inches. if a frame of uniform width contains an area of 165 square inches, what is the width of the frame.
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Question 36907: the hillside garden club wants to double the area of its rectangular display of roses. if it is now 6 meters by 4 meters by what equal amount must each dimension be increased.
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Question 36900: the square of a number exceeds 11 times the number by 312. find the number
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Question 36910: the difference between a number and its riciprocal is 16 over 15. find the number.
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Question 36909: if a number is increased by its reciprocal, the result is 11 over 30. find the number.
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Question 36925: jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles with the wind, and in the same amount of time runs 5 miles against the wind. what is the rate of the wind?
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Question 36892: if the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers.
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Question 36941: Question about linear transformation proofs. For T: V-->W in R2, v in V, T(v)=T(x2,y2)=(x2^5, y2^5), and I need to use "non-standard" vector operations for addition and scalar multiplication(such as, u=(x1,y1),v=(x2,y2), and u+v=(x1^5 + y1^5, x2^5 + y2^5))in V, but I need to use "standard" vector addition and scalar multiplication in W. I can't figure out how to use the standard operation in W for the proofs. Can't I just use the operations in V to show that the T is a linear transformation? Or, should I show proofs in both V and W separately, using the different vector operations? Please help me!!
Click here to see answer by venugopalramana(3286) About Me 

Question 36947: the sum of anumber and its reciprocal is 10 over 30. find the number.
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Question 36946: the square of anumber degreased by the square of one half the number is 108. find the number

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Question 36945: the difference of the squares of two consecutive odd integers is 48. find the integers.

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Question 36944: if a number is decreased by its reciprocal the result is 11 over 30. find the number.
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Question 36944: if a number is decreased by its reciprocal the result is 11 over 30. find the number.
Click here to see answer by venugopalramana(3286) About Me 

Question 36898: the difference of the squares of two consecutive odd integers is 48. find the integers.
Click here to see answer by checkley71(8405) About Me 

Question 36830: a local park is 30 meters long by 20 meters wide. Plans are being made to double the area by adding a strip at one end and another of the same width on one side. find the width of the strips
Click here to see answer by checkley71(8405) About Me 

Question 36894: Jackie Ruben is bulding a childrens playhouse. she wants each window to have an area of 315 square inches for adequate air. For eye appeal, she wants each window to be six inches higher than wide. what are the dimensions of each window.
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Question 36860: the difference of the squares of two consecutiveodd integersis 48.find the integers
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Question 36863: the square of a number exceeds 11 times the number by 312. find the number.
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Question 37102: I could really use some help on this.
An open-top box is to be constructed from a 4 by 6 foot rectangular cardboard by cutting out equal squares at each corner and then folding up the flaps. let x denote the length of each side of the square to be cut out.
A. Find the function V that represents the colume of the box in terms of x.
B. Graph the function and show the graph over the valid range of the variable x.
C. Using the graph, what is the value of x that will produce the maximum volume?

Click here to see answer by longjonsilver(2297) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890