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If matrix C represents (A-B)+A, the value of the entry represented by C41 is

If Matrix C Represents ABA The Value Of The Entry Represented By C41 Is class=

Sagot :

Answer:

The value of the entry represented by [tex]c_{41}[/tex] is 12.

Step-by-step explanation:

Let [tex]A = \left[\begin{array}{ccc}-5&3&8\\3&6&-5\\5&-9&0\\7&3&4\end{array}\right][/tex] and [tex]B = \left[\begin{array}{ccc}-7&-8&-5\\7&9&2\\2&5&-7\\2&8&-7\end{array}\right][/tex]. The sum of equal-sized matrices consist in the sum of each pair of corresponding elements. If [tex]C = (A-B)+A[/tex], then:

[tex]C = 2\cdot A -B[/tex] (1)

Then, [tex]c_{41}[/tex] is the element of matrix C located in the fourth row and first column and is defined by the following expression:

[tex]c_{41} = 2\cdot a_{41}-b_{41}[/tex] (2)

If we know that [tex]a_{41} = 7[/tex] and [tex]b_{41} = 2[/tex], then [tex]c_{41}[/tex] is:

[tex]c_{41} = 2\cdot (7)-2[/tex]

[tex]c_{41} = 12[/tex]

The value of the entry represented by [tex]c_{41}[/tex] is 12.