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Find the inverse of a 2x2 matrix

Consider the 2x2 matrix M , consisting of elements a , b , c and d . To find its inverse one must first find the determinant of M . This is achieved by calculating the result of the expression ad - bc . The ...
GD
Answered by Giovanni D. • Maths tutor
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Find the stationary point of the graph of y = 2x + 5 + 27x^(-2)

y = 2x + 5 + 27x -2 To find a stationary point, find the gradient function by differentiating with respect to x:y' = 2 -54x -3 To find a stationary point, let the gradient function equal zero:2- 54x -3 = 02 ...
HH
Answered by Henry H. • Maths tutor
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A is the point with coordinates (5,8) and B is the point with coordinates (1,-2). Find the coordinates of the midpoint of AB.

The coordinates of the midpoint of a line are halfway between the coordinates of the points on either end of the line.To find the x-coordinate of the midpoint of AB, add the x-coordinate of A and the x-coord...
WT
Answered by Will T. • Maths tutor
13675 Views

Expand (x + 4) (x - 8)

Multiply the first x term by the second x term (explain that any number times by itself is itself squared) = x^2Multiply the non-x term of the first bracket by the x term of the second bracket and check post...
HH
Answered by Harry H. • Maths tutor
9220 Views

The diagram shows the position of two ships, A and B, and a lighthouse L. Ship A is 5km from L on a bearing of 070° from L. Ship B is 3km from L on a bearing of 210° from L. Find the distance between A and B correct to 3.s.f.

(Draw diagram) From the diagram we can see that angle BLA= 210-70 = 140° . So for our triangle BLA we now have two sides and an included angle and we want to work out the length of the side opposite the angl...
CS
Answered by Callum S. • Maths tutor
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