Physics
Linear Algebra
Application
100

Defined as the ratio of how much work can be extracted from the energy used in a heat engine during each cycle

What is Efficiency?

100

The Numbers in a Matrix.

What is Elements of a Matrix?

100

The Power Output of a Rectangular Head of a Medical Imaging device with a measurement of L x W and an ultrasound Intensity of 1.5x102 W/m2. Note that:
L = [5 -1; 2 1]
W = [-1 1; 3 -4]

What is 21.4 W?

200

Known as the change of direction of a wave as it slows down

What is Refraction?

200

The determinant of a Matrix in order to make it Non-Singular

What is Non-Zero?

200

The mass of a 5.00 m long string that experiences transverse waves travelling at 30 m/s with a tension of B. Note that:
B = [-1 8 5; 0 10 -4; 0 0 -1]

What is 0.056kg?

300

The effect to the speed of the wave if the wavelength doubles in value and T as the period

What is double the Original Speed (2v)?

300

The determinant of a Matrix that has 2 identical rows or 2 identical columns

What is 0?

300

The velocity of a wave being observed by a scientist whose frequency is represented by the determinant of Matrix A and its wave length represented by Matrix B. Note that:
A = [3 6; 1 3]
B = [0 2; -1 1]

What is 6 m/s?

400

The Intensity of a Speaker with an Area of 0.05m2 and a power of 1W.

What is 20 W/m2?

400

The Scalar Matrix of Order 3 among the following Matrices:
A = [4 0 0; 0 4 0; 0 0 4]
B = [3 0 0 0; 0 3 0 0; 0 0 3 0; 0 0 0 3]

What is Matrix A?

400

The distance between 2 scientists who hear an explosion originating from the center of an intersection. Scientist A is located at 6m to the right and 10m to the north, meanwhile Scientist B is located 16m to the left and 10m south.

What is 29.73 m?

500

The String Tension that must be experienced by a string with a linear density of 4.9x10-3 kg/m in order to vibrate at a speed of 500 m/s.

What is 1225 N?

500

The Determinant of [AB] if A=[3 -1; 1 9] and
B=[1 1; 5 -6]

What is -308?

500

The lower frequency of a tuning fork that produces a beat every 1s and produces a higher frequency represented by the Determinant of 3A. Note that:
A = [1 4 2; 0 2 5; 0 0 3]

What is 161 Hz?