Matrices

Q.

What is equal Matrix?

Q. In a square matrix of order 3×3, which of the following can be a leading diagonal element?

1. $a_{13}$
2. $a_{23}$
3. $a_{22}$
4. $a_{12}$

Q. A number $n$ is said to be 'perfect' if the sum of all its divisors (excluding $n$ itself) is equal to $n$. An example of a perfect number is

1. $9$
2. $15$
3. $21$
4. $6$

Q. The ratio of any two consecutive terms in a G.P is called common ratio of the GP.

1. False
2. True

Q. Also, find the value of $m$ if, coordinates of the point of intersection of the diagonals of the square $ABCD$ is $(1,m)$

Q. are the type of brackets a matrix is represented with.

1. Flower brackets
2. Round brackets
3. Square brackets

Q. If a, b, c all are non-zero and unequal and $\left|\begin{array}{ccc}1+a& 1& 1\\ 1& 1+b& 1\\ 1& 1& 1+c\end{array}\right|=0$, then $1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ is equal to

1. $abc$
2. $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$
3. $\frac{1}{abc}$
4. $0$