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2x^2 -6x -x +3 = 0
2x(x-3) -1(x-3) = 0
(2x-1) ( x-3) = 0
x = 1/2 or x= 3
no, i understood them clearly, please explain what is determinants ?and for inverse of matrices using row operations please post some questions of finding inverses of 3by3 matrices and i will post answers on matrices thread?
What does the determinant of square matrix mean and how it works?
Let the line joining points will be AB, where
A=(-3,10)
B=(6,-8)
let the coordinates of the mid point(m) will be =m(x,y)
now, midpoint of AB(m) =
using midpoint formula (m(x,y)) = ( (x₁+x₂)/2 , (y₁+y₂)/2 ) , we get
= ( (-3+6)/2 , ( 10-8)/2 )
m(x,y) = ( 3/2 , 1 )
∴ the coordinates of the midpoint (m) = ( 3/2 , 1)
( x+(1/2) ) ( x-(1/4) )=0
x=1/4 or x= -1/2
let the vertices of the triangle be labeled as A,B and C where
A =(8,-4)
B= (9,5)
and C=(0,4)
now ,distance of AB =
using distance formula = √( (x₂-x₁))^(2)+( (y₂-y₁) )^(2) )⃗, we get
=√( (9-8)^(2) )+(5+4)^(2) )
=√(82) units.
distance of BC = √( (0-9)^(2)+(4-5)^(2) )
= √(82) units
distance of AC = √( (8-0)^(2)+(4+4)^(2) )
= (8√(2)) units
∴ distance of ab = distance of bc = √(82) units
∆ABC is an isosceles triangle.
Solution for A#80 is (xy+4z)(xy-4z)((xy)^2 +(4z)^2))
CG#96 The value of k=0
Solution A#79 the value of k=-3
How programming is different from algorithms?
CG#95. ∴ the ratio is 2:1 and the value of p =(2/3)
Solution A#78 the values are k=1 or k=(1/16)
Solution A#77 is a=2
The solution for #277 is 6
This is what I know about a inverse of matrices using row operations. please ask me questions to challenge my understanding?
Solution of #331: The values are
a=-13
b= 8
Are there any mathematicians who were struggled in learning some area of maths?
Why does the method of finding inverse operations using elementary operations looks so hard and what should I do to reduce the mistakes while doing this method? Especially for 3x3 matrices?
how to find inverse of matrix using elementary operations of an matrix and without using determinants?
Would you please explain the following topics:
(1) elementary operations(transformations) of a matrix
(2) invertible matrices, inverse of a matrix by elementary operations
Solution for # 675 is x= - √2 , x= -(5/√2)
If A and B are symmetric matrices of same order(nxn) then how could ( AB-BA) be an skew symmetric matrix?, please explain with an example?
Generally how would we express the given arbitary matrix as the sum of symmetric and skew symmetric matrix?
The solution for #262 is -(a+nd).
What does the transpose of a matrix mean and how it could be visually seen?