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..
>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..Example 2:
Using matrix method, solve the following system of linear equations x + y + z = 6 (1) x + 2y + 3z = 14 (2) x + 4y + 7z = 30 ..
Example 1:
Using matrix method solve the following systems of linear equations 2x - y + z = -3 3x - z = - 8 2x + 6y = 2..
Example:
Solve the system of linear equations. x +2y + 3z = 6 2x + 4y + z = 7 3x + 2y + 9z = 14 using Cramer's rul..
Sigma Notation
The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3n. Thu..
The Greek letter S (read as sigma) denotes the sum. When written before the n t h term of series, implies, the sum of all terms obtained by giving to n the different values 1,2,3n. Thu..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 a..
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 a..In a week, Eric read 10 books, Lisa read 8 books, Mac read 12 books, a..
In a week, Eric read 10 books, Lisa read 8 books, Mac read 12 books, and Carol read 6 books. Which graph represents the data? => Graph 3 or Graph 4 or Graph 2 or Graph 1..
Hanna spends 8 hours in a day on reading books. Express the fraction o..
Hanna spends 8 hours in a day on reading books. Express the fraction of the day she spends on reading, in its simplest form. => 1 8 or 1 2 or 1 3 or 1 5..
Sam started reading a book at 7:30 P.M. and finished at 9:00 P.M. How ..
Sam started reading a book at 7:30 P.M. and finished at 9:00 P.M. How much time did he take to complete the book? => 2 hours or 3 hours or 2 hour 30 minutes or 1 hour 30 minutes..
Charlie read 15 of a book on the first day and 25 of it on the secon..
Charlie read 1 5 of a book on the first day and 2 5 of it on the second day. How much has Charlie read? => 1 3 or 1 8 or 1 5 or 3 5..
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