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Summary
A matrix is a rectangular array of numbers, arranged in rows and columns. Order of a matrix = Number of rows in it x Number of columns in it Row matrix is a matrix with only one row. Column matrix is a matrix with only one column. Zero..
Approximation
We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place. 23.473 g = (2 x 10)..
We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place. 23.473 g = (2 x 10)..Question 1
Question: Define an even number. Answer: A number which is divisible by 2 is called an even number..
Note 1:
The L.H.S of (ii) and (iii) will have only finite number of terms, because n C r = 0 in case r>..
Step 1:
Show that the result holds for n = 1..
Note 1:
In case is an integer, then T r+1 = T r and both T r+1 and T r are the greatest term..
In case is an integer, then T r+1 = T r and both T r+1 and T r are the greatest term..Step 1:
In the expansion of (1+x) n , the (r+1)th term is equal to..
In the expansion of (1+x) n , the (r+1)th term is equal to..Step 1:
Let n = 1 (1) is true for n = 1..
Let n = 1 (1) is true for n = 1..Example 1:
Find the remainder when 2x 3 +4 is divided by a) x-1 b) x-2 d) x+1..
Find the remainder when 2x 3 +4 is divided by a) x-1 b) x-2 d) x+1..Question 1
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala.. Result
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