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Tutors Answer Your Questions about Matrices-and-determiminant (FREE)
Question 657517: Use the properties of determinants to find the following determinants without a full set of calculations
1. Find |243 0 -387|
|26 0 -98|
|598 0 4891|
2. If |3 0 -3| |6 0 -3|
|2 1 0|=9, then find |4 1 0|
|0 -2-1| |0-2 -1|
3.If |3 0 -3| | 3 0 -3 |
|2 1 0|=9, then find |(2+0) (1-2) (0-1)|
|0-2 -1| | 0 -2 -1 |
4.If A-[2 -4] find A^-1
[-2 5]
Click here to see answer by tonidee(1)  |
Question 939904: A natural food store makes its own brand of trail mix out of dried apples, raisins, and peanuts. One pound of the mixture costs $3.18. It contains twice as much peanuts by weight as apples. One pound of dried apples cost $4.48, one pound of raisins $2.40, and one pound of peanuts $3.44. How many ounces of each ingredient are contained in one pound of the trail mix?
I have to use a 3x3 matrix to slove it but I can't figure out what the 3 equations would be
Click here to see answer by josgarithmetic(39613) |
Question 950149: B=
1 2 3
2 5 3
1 0 8
Find the inverse of Matrix B.
Answer:
Det(M)=
40-26-15
= -1
M11= 40
M21= 13
M31=-5
M12=16
M22=5
M32=-2
M13=-9
M23=-3
M33=1
40 16 -9
13 5 -3
-5 -2 1
+ - +
- + -
+ - +
40 -16 -9
-13 5 3
-5 2 1
M^-1=1/-1
Brackets
-40 16 9
13 -5 -3
5 -2 -1
Brackets
Did I do it right? Thanks in advance.
Click here to see answer by MathLover1(20849)  |
Question 950463: 2x₁+3x₂ =-2
x₁+2x₂+3x₃=0
-x₂-5x₃=1
Give the matrix equation associated with the system of equations below, and solve it by using the corresponding inverse mix.
What I've done so far.
2 3 0 [x] =-2
1 2 3 [y] =0
0 1 5 [z] =1
[x]=[2 3 0] ^-1.......[-2 ]
[y]=[1 2 3]............[ 0 ]
[z]=[0 1 5]...........[ 1 ]
I'm not sure if I'm doing it right. Please show me the steps. I'm currently working on it BTW. Thanks.
Click here to see answer by Fombitz(32388)  |
Question 950463: 2x₁+3x₂ =-2
x₁+2x₂+3x₃=0
-x₂-5x₃=1
Give the matrix equation associated with the system of equations below, and solve it by using the corresponding inverse mix.
What I've done so far.
2 3 0 [x] =-2
1 2 3 [y] =0
0 1 5 [z] =1
[x]=[2 3 0] ^-1.......[-2 ]
[y]=[1 2 3]............[ 0 ]
[z]=[0 1 5]...........[ 1 ]
I'm not sure if I'm doing it right. Please show me the steps. I'm currently working on it BTW. Thanks.
Click here to see answer by Newb(4) |
Question 953643: I've tried to answer this question, but i get one positive solution for apples, and negative solutions for orange & pears, which given the context of the problem, doesn't make sense (for question #1) ).
> Apple is made up of 20mg zinc, 30mg potassium & 15mg Radium
> Orange is made up of 20mg zinc, 50mg potassium & 10mg radium
> Pear is made up of 20mg zinc, 10mg potassium, & 10mg radium
question #1: you need 115mg zinc, 120mg potassium, 110mg of radium everyday, so how many of each fruit should you eat?
question #2: How many of each fruit do you eat if the mg of zinc in each fruit is cut by 1/2 ?
For #1, I set it up as follows:
FRUIT Apple Orange Pear
Zinc 20 20 20
Potassium 30 50 10
Radium 15 10 10
Click here to see answer by josgarithmetic(39613) |
Question 954070: I've tried to answer this question, but i get one positive solution for apples, and negative solutions for orange & pears, which given the context of the problem, doesn't make sense (for question #1) ). #2 once again doesnt make sense.
> Apple is made up of 20mg zinc, 30mg potassium & 15mg Radium
> Orange is made up of 20mg zinc, 50mg potassium & 10mg radium
> Pear is made up of 20mg zinc, 10mg potassium, & 10mg radium
question #1: you need 115mg zinc, 120mg potassium, 110mg of radium everyday, so how many of each fruit should you eat?
question #2: How many of each fruit do you eat if the mg of zinc in each fruit is cut by 1/2 ?
For #1, I set it up as follows:
FRUIT Apple Orange Pear Total
Zinc 20 20 20 115
Potassium 30 50 10 120
Radium 15 10 10 110
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 954897: Roman want to determine the volume of three oddly shaped bottles. all he has is gallon container filled with water. After much experimenting, he discovers the following facts. the gallon container fills the first and second containers. the first and the third containers exactly fill the second container. three times the volume of the first container fills the second. what is the volume of each container?
Thank You!!
Click here to see answer by macston(5194)  |
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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, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645
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