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Given that k is a real number and that A = ((1+k k)(k 1-k)) find the exact values of k for which A is a singular matrix.

okay so A is a 2x2 matrix.for it to be singular its determinate has to equal 0.a 2x2 matrix's determinate is equal to m 1,1 m 2,2 - m 1,2 m 2,1 for this example:det(A) = (1+k)(1-k) - (k)(k) = 0multiplying ou...
KY
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Give two ways in which the presence of synapses are advantageous to the nervous system.

They ensure unidirectional transmission - Nerve impulses can also pass from the pre-synaptic neurone to the post-synaptic neurone. This is due to the neurotransmitter being made in the pre-synaptic membrane ...
LC
Answered by Lucy C. • Biology tutor
3538 Views

Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.

with integration you need to increase the power and divide through by the new power for each term in the equation.2x 5 goes to 2x 6 /6 = x 6 /3-1/(4x 3 ) is equal to -x -3 /4 which then goes to -x -2 /4/-2 =...
KY
Answered by Kieran Y. • Maths tutor
6431 Views

Find both stationary points for y= 4x^(3)-3x^(2)-60x+24. Also find the nature of those points.

y= 4x 3 - 3x 2 - 60x+ 24dy/dx = 12x 2 - 6x- 60 = 2x 2 - x- 10 = (2x-5)(x+2) So stationary points are at x= 5/2 and x= -2 d 2 x/dy 2 = 24x - 6 24(5/2) - 6 = positive so this is a minimum point 24(-2) - 6 = ne...
WM
Answered by Will M. • Maths tutor
7151 Views

Coal is a non-renewable energy resource. Name two other non-renewable energy resources.

oil and gas
KY
Answered by Kieran Y. • Physics tutor
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