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Subtraction of Matrices
Two matrices can be subtracted in the same way as they are added. We change the signs of the corresponding elements and then add the..
Note:
The middle terms may be easily found out by using the following method: i) When n is even, we add the even number 2 to n and divide by 2 to get the middle term i.e., term. ii) When n is odd, we add the odd numbers 1 and 3 to n and divid..
The middle terms may be easily found out by using the following method: i) When n is even, we add the even number 2 to n and divide by 2 to get the middle term i.e., term. ii) When n is odd, we add the odd numbers 1 and 3 to n and divid..Addition of Matrices
To add two matrices: (i) Check whether they are of the same order. (ii) If they are of the same order, add the corresponding elements. (ii) It will be seen that the matrix obtained after addition will also be a matrix of the same order. If and then If and , th..
To add two matrices: (i) Check whether they are of the same order. (ii) If they are of the same order, add the corresponding elements. (ii) It will be seen that the matrix obtained after addition will also be a matrix of the same order. If and then If and , th..Examples:
1, 3, 5, 7..... (adding 2 to every term) 1, 4, 16, 64 (Multiplying by 4 every term) 20, 17, 14 . (add -3 to every term) The different numbers in a sequence are called terms of sequence. The subscripts denote the position of the term. In the second example, 4 i..
1, 3, 5, 7..... (adding 2 to every term) 1, 4, 16, 64 (Multiplying by 4 every term) 20, 17, 14 . (add -3 to every term) The different numbers in a sequence are called terms of sequence. The subscripts denote the position of the term. In the second example, 4 i..Subtraction of Matrices
Subtraction of Matrices - Two matrices can be subtracted in the same way as they are added. We change the signs of the corresponding elements and then add them. If then If and , th..
Subtraction of Matrices - Two matrices can be subtracted in the same way as they are added. We change the signs of the corresponding elements and then add them. If then If and , th..Some important results
Given a, b, c and d are non-zero real numbers, we can deduce other proportions by simple Algebra. These results are often referred by the names mentioned along each of the properties obtained. (1) If then bc = ad This property is known as INVERTENDO. (2) If , then ad = bc This p..
Given a, b, c and d are non-zero real numbers, we can deduce other proportions by simple Algebra. These results are often referred by the names mentioned along each of the properties obtained. (1) If then bc = ad This property is known as INVERTENDO. (2) If , then ad = bc This p..Sum of two Complex numbers
If Z 1 = a + ib and Z 2 = x + iy, then we define their sum as Z 1 + Z 2 = (a + ib) + (x + iy) = (a + x) + i(b + y) which is a complex number..
Symmetric Difference of two sets
If A and B are two sets, we define their symmetric difference as the set of all elements that belong to A or to B, but not both A and B, and we denote it by A D B. Thu..
If A and B are two sets, we define their symmetric difference as the set of all elements that belong to A or to B, but not both A and B, and we denote it by A D B. Thu..Quotient of two non-zero Complex numbers
If Z 1 = a + ib and Z 2 = c + id are two complex numbers, then quotient is defined as ..
If Z 1 = a + ib and Z 2 = c + id are two complex numbers, then quotient is defined as ..To insert n Harmonic Means between two given 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. ..
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. .. Result
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