The value of the matrix X is
<h3>How to solve for matrix X?</h3>
The attached image represents the complete question
The given matrices are:
The expression is given as:
A(X - B) = C
Expand
AX - BX = C
This gives
Evaluate the products
Evaluate the difference
By comparing the positions, we have:
6a - 4c = -1
6b - 4d = 2
4a - 4c = -2
4b - 4d = 2
Rewrite as:
6a - 4c = -1 and 4a - 4c = -2
6b - 4d = 2 and 4b - 4d = 2
Using a graphing tool, we have:
a = 0.5, c = 1, b = 0, and d = -0.5
Hence, the matrix X is:
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Fill 10 in for x and find the results to see if they are equivalent or not.
The goal is to get the inequality into the form Ax+By > C or Ax+By < C
First multiply both sides of the inequality by 2 to clear out the fractions
y > (3/2)x - 7/2
2*y > 2*( (3/2)x - 7/2 )
2y > 2*( (3/2)x ) + 2*( -7/2 )
2y > 3x - 7
Now get the x and y terms to one side; move the 7 to its own side
2y > 3x - 7
2y+7 > 3x - 7+7 ... add 7 to both sides
2y+7 > 3x
2y+7-2y > 3x-2y ... subtract 2y from both sides
7 > 3x-2y
3x-2y < 7 ... flip the two sides and the inequality sign
We finally have the inequality into the form Ax+By < C where
A = 3
B = -2
C = 7
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The answer is 3x-2y < 7
<u>Answer-</u>
The largest value that you can get by putting parentheses in different places should be,
<u>Solution-</u>
Among all mathematical operations, power and factorial operation generates enormously big results.
So taking the power of all the remaining expressions,
After, power and factorial operations, multiplication and addition yield big results.
But, here before doing multiplication, adding 1, 3 and 4, 5 and then multiplying the both results, gives bigger number.
( ∵ 1+(3*4)+5 = 18, but (1+3)*(4+5)= 36 )
So,
F(2a) = 4a^2 - 1 = 35
4a^2 = 36
a^2 = 9
a = + or - 3