Question

Which property is shown In the matrix addition above?

A. Inverse Property
B. Identity Property
C. Commutative Property
D. Associative Property

Answer 1

b. identity property

Explanation:

EDGE 2021 AQR QUIZ

Answer 2

Identity Property.

Explanation:

Two matices are given to us , which are ,

Let A =
`\left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right]` .

Let B =
`\left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right]` .

Here since all the elements of Matrix B are 0 , its a null matrix . Hence adding any matrix to it will give the same matrix which is added . This property is called as Identity Property .

Adding both A and B ,

`\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] + \left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right]`

`\implies A + B = \left[ \begin{array}{ccc} ( 6+0) & (-8+0) & (1+0) \\ (0+0) & (-2+0) & (-19 + 0 ) \end{array}\right]`

`\red{\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] }`

Hope it helped !