Summary
>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value of the determinant is zero. A square A = [a i j ]..
>If any two rows or columns of a determinant are equal, then its value is zero. If each element of a row or column of a determinant multiplied by k, then its value is multiplied by k. If two rows or columns of determinant are proportional, the value of the determinant is zero. A square A = [a i j ]..Example 4:
Factorise 2x 3 + x 2 - 2x - ..
Summary
If x and y are any real numbers, then x+iy is called a complex number. In the complex number x+iy, the real numbers x and y are respectively called the real part and imaginary p..
Example:
Find the greatest term in the expansion of (3 + 2x) 9 when x = ..
Example 5:
Factorise completely 2x 3 - 7x 2 - 3x + 1..
Indices
We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 We know that 64 = 2 x 2 x 2 x 2 x 2 xh..
We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 We know that 64 = 2 x 2 x 2 x 2 x 2 xh..Indices
We know that 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2 6 Here 2 is called the base and 6 is called the power (or index or exponent). We say that "64 is equal to base 2h..
Example 2:
If x:y=3:4 find value of (4x+3y) : (2x+5y..
Complex Numbers Introduction
Introduction - Consider a simple quadratic equation x 2 + 1 = 0. There is no real number which satisfies this equation. So there was a need to find a system which could answer to this problem. Euler used the symbol 'i' to denote to solve the above equation. C..
Introduction - Consider a simple quadratic equation x 2 + 1 = 0. There is no real number which satisfies this equation. So there was a need to find a system which could answer to this problem. Euler used the symbol 'i' to denote to solve the above equation. C..Complex number
Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary..
See what our Users say :
Math is no more a problem at all for me, an hour tutoring everyday with an online tutor is helping me to get good grades
I asked a Math question in the chat box in tutorvista. I was amazed to see live response from the tutor who helped me with my questions. That was great. I joined their online regular tutoring so that I can get such help anytime. - Mary
Its Johnson, I have a kid studying in grade 8th, he got live help from this site and he called me to make him join it which I did. Its really helping him.
Hey its Andy. I want to thank TutorVista guys 4 their suberb teaching. I got better grades after studying from them.
Looking for More Help!
