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Matrices and Determinants Summary
The system of linear equations may be expressed as AX = B. Step 2: Find |A|. If |A| 0, the system has unique solution which is given by X = A - 1 B. Step 3: If |A| = 0, put x = k (y = k or z = k) in any two of the given equations and find ..
The system of linear equations may be expressed as AX = B. Step 2: Find |A|. If |A| 0, the system has unique solution which is given by X = A - 1 B. Step 3: If |A| = 0, put x = k (y = k or z = k) in any two of the given equations and find ..To insert n Harmonic Means between two given quantities
Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. Hence h 1 , h 2..
Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. Hence h 1 , h 2..Inserting n Harmonic Means between two quantities
To insert n Harmonic Means between two given quantities - Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. Hence h 1 , h 2..
To insert n Harmonic Means between two given quantities - Let a and b be two given quantities. It is required to insert n harmonic means h 1 , h 2 , h 3 ,....h n between the quantities a and b. Let d = common difference of the A.P. Hence h 1 , h 2..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 2:
In how many different arrangements can 6 gentlemen and 6 ladies sit around a table if i) there is no restriction and ii) no two ladies sit side by sid..
Question 2
Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..
Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..Example 2:
How many numbers are there between 100 and 1000 such that every digit is either 2 or ..
Note 2:
From the definition, it is clear that if B is the inverse of A, then A is the inverse of ..
Addition Principle:
If two events E 1 and E 2 can occur independently in exactly m ways and n ways respectively, then either of the two events can occur in (m + n) way..
Result
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