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LenKa [72]
3 years ago
11

Which property is shown In the matrix addition above?

Mathematics
2 answers:
Arturiano [62]3 years ago
6 0

Answer:

b. identity property

Step-by-step explanation:

EDGE 2021 AQR QUIZ

jasenka [17]3 years ago
5 0

Answer :

Identity Property.

Step-by-step 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 .

<u>Adding</u><u> </u><u>both</u><u> </u><u>A</u><u> </u><u>and</u><u> </u><u>B</u><u> </u><u>,</u><u> </u>

\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 !

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