Home
Class 12
MATHS
In a 4xx4 matrix the sum of each row, co...

In a `4xx4` matrix the sum of each row, column and both the main diagonals is `alpha`. Then the sum of the four corner elements

A

is also `alpha`

B

may not be `alpha`

C

is never equal to `alpha`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

In a magic square each row, column and diagonal have the same sum. Check if the figure is a magic square.

In a “magic square”, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?

Let A be 5xx8 matrix, then each column of A contains

Prove that in a parallelogram, the sum of the squres of the diagonals is equal otthe four times the sum of the square of three conterminos edges.

A magic square is an array of numbers having the same number of rows and columns and the sum of the numbers in a row column and the sum of the numbers in each row column or diagonal being the same. Fill in the blank cells of the following magic square.

EXAMPLE 3 A magic square is an array of numbers having the same number of rows and columns and the sum of the numbers in a row column and the sum of the numbers in each row column or diagonal being the same. Fill in the blank cells of the following magic square.

Let A be a (4xx4) matrix such that the sum of elements in each row is 1 . Find out sum of the all the elements in A^(10) .

Prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle.

Four letters, two 'a' and two 'b' are filled into 16 cells of a matrix as given. It is required that each cell contains atmost one letter and each row or column cannot contain same letters. Then the number of ways the matrix can be filled is lt

If A is the n xx n matrix whose elements are all '1' and B is the n xx n matrix whose diagonal elements are all 'n' and other elements are n-r , then A^(2) is a scalar multiple of