The values of b = 4, e = -1, a = -4, c = -5.
What is Matrices?
A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Here,
[tex]\left[\begin{array}{ccc}3&-1&3\\8&-1&-9\\4&-1&0\end{array}\right] - \left[\begin{array}{ccc}a&e&d\\f&b&h\\c&g&i\end{array}\right] = \left[\begin{array}{ccc}7&0&1\\-4&-5&1\\9&7&-4\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3-a&-1-e&3-d\\8-f&-1-b&-9-h\\4-c&-1-g&0-i\end{array}\right] =\left[\begin{array}{ccc}7&0&1\\-4&-5&1\\9&7&-4\end{array}\right][/tex]
On comparing both sides, we get
3-a = 7 ⇒ a = -4
-1-e = 0 ⇒ e = -1
3-d = 1 ⇒ d = 2
8-f = -4 ⇒ f =12
-1-b = -5 ⇒ b = 4
-9 - h = 1 ⇒ h =-8
4-c = 9 ⇒ c = -5
-1-g = 7 ⇒ g = -8
-i = -4 ⇒ i = 4
Thus, the values of b = 4, e = -1, a = -4, c = -5.
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