Equal Sets
Two sets A and B are said to be equal if and only if they contain the same elements i.e. if every element of A is in B and every element of B is in A. We denote the equality by A = ..
Equality of Matrices
Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = 6...
Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = 6...Equality of Matrices
If two matrices have their corresponding elements equal, then they are called equal matrices. If then a = p, b = q, c = r and d = s. a = 7, b = 9, c = 3. (i) Two equal matrices are exactly the same. (ii) If rows are changed into columns and columns into rows, we get a ..
If two matrices have their corresponding elements equal, then they are called equal matrices. If then a = p, b = q, c = r and d = s. a = 7, b = 9, c = 3. (i) Two equal matrices are exactly the same. (ii) If rows are changed into columns and columns into rows, we get a ..Ratio of greater inequality, less inequality and equality.
A ratio a:b is said to be of greater inequality, if a>b less inequality, if a < b equality, if a=..
Complex number
Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The following are the types of compl..
Complex Numbers Summary
Summary - If x and y are any real numbers, then x+iy is called a complex number. In the complex number x+iy, the real numbers x and y are respectively called the real part and imaginary part of x+iy. Two complex numbers are said to be equal if ..
Summary - If x and y are any real numbers, then x+iy is called a complex number. In the complex number x+iy, the real numbers x and y are respectively called the real part and imaginary part of x+iy. Two complex numbers are said to be equal if ..qth root complex number Argand diagram
Argand diagram of the q th roots of a Complex number - All the q-th roots of z lie on a circle centred at the origin O and having radius equal to the real, positive q t h root of r. One of them has amplitude and others are uniformly spaced around the circle separated from others..
Scalar Matrix
A scalar matrix is a diagonal matrix in which all the diagonal elements are equal..
Properties of Complex numbers
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..Argand diagram of the qth roots of a Complex number
All the q-th roots of z lie on a circle centred at the origin O and having radius equal to the real, positive q t h root of r. One of them has amplitude and others are uniformly spaced around the circle separated from others by an ang..
Result
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