A square has 4 sides. Use the table to find the number of sides 5 squa..
A square has 4 sides. Use the table to find the number of sides 5 squares will have. Number of squares 1 2 3 4 5 Number of sides ..
Consistency of a system of linear equation
The above discussion leads to find the solution of a system of linear equations in two variables by using Cramer's rule. Cramer's rule suggests the use of determinants to solve a system of linear equations. Let us denote a 1 b 2 - a 2 b 1 (Denominators of x and y in (h..
The above discussion leads to find the solution of a system of linear equations in two variables by using Cramer's rule. Cramer's rule suggests the use of determinants to solve a system of linear equations. Let us denote a 1 b 2 - a 2 b 1 (Denominators of x and y in (h..Matrices and Determinants
>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find..
>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find..Some important results
then This property is known as COMPONENDO. (4) If we subtract 1 from both sides of then This property is known as DIVIDENDO. (5) If result (3) is divided by the result (4), th..
then This property is known as COMPONENDO. (4) If we subtract 1 from both sides of then This property is known as DIVIDENDO. (5) If result (3) is divided by the result (4), th..Complex number
Imaginary Number - Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We write, P..
Imaginary Number - Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We write, P..Some Applications of Binomial Theorem for Fractional Index
If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 , x 4h..
If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 , x 4h..Examples of Types of Matrices
is a 2 x 2 matrix. It is also called square matrix of order 2. C = [5 0 3] is a 1 x 3 matrix. It is also called a row matrix. is a 3 x 1 matrix. It is called a column matrix. is not a matrix because column three is incomplete. is a 2 x 3 matrix. It is called a zero mat..
is a 2 x 2 matrix. It is also called square matrix of order 2. C = [5 0 3] is a 1 x 3 matrix. It is also called a row matrix. is a 3 x 1 matrix. It is called a column matrix. is not a matrix because column three is incomplete. is a 2 x 3 matrix. It is called a zero mat..General Series
1. To find the sum of first n natural numbers. 2. To find the sum to squares of first n natural numbers. 3. To find the sum to the cubes of first n natural numbers. 4. Method of finding su..
Examples:
skew-symmetric for every square matrix A. That is any square matrix is expressible as the sum of a symmetric matrix and a skew-symmetric matrix. 5. A matrix which is both symmetric and skew symmetric is a zero matr..
skew-symmetric for every square matrix A. That is any square matrix is expressible as the sum of a symmetric matrix and a skew-symmetric matrix. 5. A matrix which is both symmetric and skew symmetric is a zero matr..Matrices and Determinants
Matrices and Determinants..
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