Equality Matrices
Tuesday, August 31, 2010
Factor of polynomials
Factoring a polynomial is the reverse method of multiplying polynomials.
they are getting for prime factors for actual number which multiply together to give the same actual number.
For example, 28 = 7 x 2 x 2
When they are going to factor a polynomial, First they must look for simpler polynomial expressions which are multiplied each other & give the same polynomial expression what they started with.
For example, y5x2 + 25xy = 5xy(x + 5)
Let us solve sample issues on factoring polynomials.
Types of fractions
Factor polynomials
Monday, August 30, 2010
Ogive graph help
Ogive graph
Steps for constructing the graph:
1.Draw the horizontal x- axis and vertical y-axis and name it.
2.And mention the class boundaries placed on x-axis and cumulative frequencies placed on y-axis.
3.upper class boundary of cumulative frequency to be plotted represents the height as a corresponding cumulative frequency.
4. segments connected first point on left placed on x-axis and the level of lowest lower class boundary.
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Measurement
Linear programming examples
Saturday, August 28, 2010
Vertical
A ) 4
B ) 1
C ) 2
D ) 0
E ) 3
Steps to derive
1 x = t3 - 3t, y = 3t2 - 9
[Write the parametric equations.]
2 dxdt = 3t2 - 3, dydt = 6t
[Find dxdt and dydt.]
3 At points where dxdt = 0 but dydt ≠ 0, the tangent is vertical.
4 dydt ≠ 0, 6t ≠ 0, t ≠ 0
5 3t2-3 = 0
[Equate dxdt to zero.]
6 t = ± 1
[Solve for t.]
7 At t = 1, x = - 2 and y = - 6
[Find x, y at t = 1.]
8 At t = - 1, x = 2 and y = - 6
[Find x, y at t = -1.]
9 The coordinates of the points at which the tangent is vertical are (- 2 , - 6) and (2, - 6).
10 So, there's four vertical tangents for the given parametric curve.
Hence the right answer is Option C
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vertex Linear algebra notes |
Vertex
Wednesday, August 25, 2010
How to find square of a number?
How to find the square of a number:
How to find the square of a number,we have certain steps:
Write the number twice.
Multiply the number.
write your answer
Or else represent in square form.
Example: How to find the square of a number 3?
Given:3
Finding square of 3 =3x3=9=3square
more to help:refer my next blog
Algebra help
find the square of a number
Thursday, August 12, 2010
free pre algebra answers
We are going to discuss about the topic how to multiply decimals step by step with some related problems. Decimal have point in between the numbers. The number will present with dot. For example, 65.28 is a decimal number. There are many ways to multiply the decimal values. Some of them are following below.
free pre algebra answers
Step 1: Take the decimal numbers
Step 2: Check the given decimal number, how many digits are present after the point.
Step 3: If the number after the point is 1 means, we need to multiply with the value 10 to remove the decimal point. If the number after the point is 2 means, we need to multiply with the value 100 to remove the decimal point.
Step 4: After removing the decimal point we can multiply easily using normal multiplication method.
Step 5: Finishing the multiplication process, again we need to divide 10 or 100 (multiplied value in the step 3) with the answer for putting the decimal point.
Or
Multiply the given decimal value then count the digit after the point.
Put the point in the answer count starts from left side.
Wednesday, August 11, 2010
inverse variation
The relation of mutual dependability between two variables is called variation. Variations are of two kinds
- Direct variation
- Inverse variation.
For Example, The capacity to purchase bananas will depend upon the money we have in our pocket. Less money will fetch fewer bananas while more money will bring more. Therefore, the number of bananas purchased will depend upon the amount. This is the main concept of Variation. It various directly it is known as direct variation. It various inversely it is known as indirect variation.
The number of workers engaged for doing a piece of work and the number of days spent in doing the work is inverse variation. If x and y are two variables and x be in inverse variation with then x ∝1/y or x = k/y(i.e. where k is a positive constant) or x y =k That is the product of the inverse variable quantities is a constant.
Thursday, August 5, 2010
gauss jordan method
Let us learn about the Gauss Jordan method. Gauss-Jordan is the systematic procedure of reducing a matrix to reduced row-echelon form using elementary row operations. The augmented matrix is reduced to a matrix from which the solution to the system is ‘obvious’. The gauss-Jordan method matrix is said to be in reduced row-echelon form. The following steps are used to solving the Gauss -Jordan method.
Step 1:
Locate the leftmost column not consisting completely of zeros.
Step 2:
Replace the top row with a new row if necessary to bring a non-zero entry to the top of this column.
Step 3:
If this non-zero entry is a multiply the first row by 1/a to introduce a leading 1.
Step 4:
Add suitable multiples of the top row to all the other rows in order to have only zero entries in the column below this leading 1.
Step 5:
Now ignore the top row of the matrix and begin again with step 1 applied to the sub matrix that remains. Continue until the whole matrix is in row-echelon form.
Step 6:
Then opening with the last non-zero row and working upwards, add suitable multiples of each row to the rows above in order to introduce zeroes above the leading 1s.