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Determinants
Let A = [aij] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix A and is ..
Permutations
Permutations - The different arrangements that can be made with a given number of things taking some or all of them at a time are called permutations. The symbol n P r or P(n,r) is used to denote the number of permutations of n things taken r at a tim..
Determinants
Let A = [a ij ] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix A and is denot..
Let A = [a ij ] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix A and is denot..Summary
>- The difference of two sets A and B, in this order, is the set of all those elements of A which are not in B. - The symmetric difference of two sets A and B is defined as the union of the sets A - B and B - A. Important results If A is a subset of universal set X, then complement of A i..
>- The difference of two sets A and B, in this order, is the set of all those elements of A which are not in B. - The symmetric difference of two sets A and B is defined as the union of the sets A - B and B - A. Important results If A is a subset of universal set X, then complement of A i..Union of sets
If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given set..
Compare the set with the proper symbol.
Compare the set with the proper symbol. => I don′t know. or > or = or <..
Compare the numbers with the proper symbol.
Compare the numbers with the proper symbol. =>< or = or > or I don′t know...
Compare the numbers with the proper symbol.
Compare the numbers with the proper symbol. => I don′t know. or > or = or <..
Compare the numbers with the proper symbol.
Compare the numbers with the proper symbol. =>< or > or = or I don′t know...
Compare the numbers with the proper symbol.
Compare the numbers with the proper symbol. => = or I don′t know. or < or >..
Result
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