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, ..
>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, ..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..Question 2
Question: For the given sequence, suggest possible next three terms and find the general term. -3, 1, 5,---- Answer: First term = -3, Common difference = 1-(-3) = 4 = 5 - 1 Next three terms are 5 + 4 = 9, 9 + 4 = 13, ..
Suggested answer:
The greatest possible value of r is 4. = 4898..
The greatest possible value of r is 4. = 4898..Introduction
.02 cm. The unit of accuracy required is hundredth of a centimeter. Therefore, only digit 2 is significant. The 0 after decimal indicates the magnitude of measurement. Therefore, the 0 after decimal point is not significant. .02 cm has one significant figure. To sum up the above examples:..
Ratio and Proportion I Introduction
Introduction - Lets say there are 6 frogs and 2 crabs in a pond. We can compare the number of frogs to the number of crabs in two different ways: How many more frogs than crabs are there? or How many fewer crabs than frogs are there? The answer..
Introduction - Lets say there are 6 frogs and 2 crabs in a pond. We can compare the number of frogs to the number of crabs in two different ways: How many more frogs than crabs are there? or How many fewer crabs than frogs are there? The answer..Introduction
Let us consider the marks obtained by four students in Physics, Chemistry and Biology for the first unit test. We have represented the data in rows and columns. (i) Rows show the marks obtained by each student. (ii) The columns show the marks in Physics, Chemistry, Biology obtained by eac..
Let us consider the marks obtained by four students in Physics, Chemistry and Biology for the first unit test. We have represented the data in rows and columns. (i) Rows show the marks obtained by each student. (ii) The columns show the marks in Physics, Chemistry, Biology obtained by eac..Examples:
Each one of the following series form an A.P. i) 1, 3, 5, 7, ii) 3, 7, 11, 15, iii) 15, 12, 9, iv) x, x - d, x - 2d, ..... The common difference is found by subtracting any term of the series from the immediate succeeding term. In the above example, common difference in th..
Each one of the following series form an A.P. i) 1, 3, 5, 7, ii) 3, 7, 11, 15, iii) 15, 12, 9, iv) x, x - d, x - 2d, ..... The common difference is found by subtracting any term of the series from the immediate succeeding term. In the above example, common difference in th..Question 4
Question: Express the following sets in set builder form. (i) Set A consists of the letters p, q, r, s and t (ii) Set C = {1,3,5,7,....} (iii) Set D = {8} Answer: ..
Question: Express the following sets in set builder form. (i) Set A consists of the letters p, q, r, s and t (ii) Set C = {1,3,5,7,....} (iii) Set D = {8} Answer: ..Example 4:
Find a so that x 4 +2x 3 -ax 2 +x-2 has (x+2) as its facto..
Result
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