One of these is Jack's Math book. Use the clues to find his Math book...
One of these is Jack's Math book. Use the clues to find his Math book. (1) It is not Book-2. (2) It is not Book-4. (3) It is not Bookh..
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 (3..
Question 10
Question: From 12 books, in how many ways can 5 be chosen i. to surely include a particular book ii. never to include a particular book iii. to have no restrictions at all? Answer: i. To include a particular book, one particular boo..
Question: From 12 books, in how many ways can 5 be chosen i. to surely include a particular book ii. never to include a particular book iii. to have no restrictions at all? Answer: i. To include a particular book, one particular boo..Matrices
Consider the arrangement In this arrangement, there are two rows and four columns. The number 3 lies in the 2 n d row and 4 t h column. Each number has a fixed position. Matrix A has 2 rows and 3 columns and is thus of order 2 x 3..
Consider the arrangement In this arrangement, there are two rows and four columns. The number 3 lies in the 2 n d row and 4 t h column. Each number has a fixed position. Matrix A has 2 rows and 3 columns and is thus of order 2 x 3..Example:
Using determinants, find the area of triangle whose vertices are (2, -7), (1, 3), (10, 8). Solution: (x 1 , y 1 ) = (2, -7) (x 2 , y 2 ) = (1, 3) (x 3 , y 3 )..
Using determinants, find the area of triangle whose vertices are (2, -7), (1, 3), (10, 8). Solution: (x 1 , y 1 ) = (2, -7) (x 2 , y 2 ) = (1, 3) (x 3 , y 3 )..Consistency of a system of linear equation
If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by a 2h..
If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by a 2h..Summary
) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should be taken as a/r 3 , a/r, ar, ar 3 (i) A s..
) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should be taken as a/r 3 , a/r, ar, ar 3 (i) A s..Summary
>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, ..
>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, ..Suggested answer:
Note that we can also evaluate the determinant D 1 , D 2 and D 3 directly without using the properties of determinant. The solution of the system is given by It is important to mention here the consistency and inconsistency of a system of linear equations wit..
Note that we can also evaluate the determinant D 1 , D 2 and D 3 directly without using the properties of determinant. The solution of the system is given by It is important to mention here the consistency and inconsistency of a system of linear equations wit..Renny bought 20 books each of which costs $7. The total bill is $120 w..
Renny bought 20 books each of which costs $7. The total bill is $120 which includes a discount. What is the discount on each book? => $1 or $3 or $2 or $5..
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