ashleysoto7426 ashleysoto7426
  • 15-01-2020
  • Mathematics
contestada

If D is an n × n diagonal matrix with entries dii, then det D = d11d22 ∙ ∙ ∙ dnn. Verify this theorem for 2 × 2 matrices.

Respuesta :

MechEngineer
MechEngineer MechEngineer
  • 15-01-2020

Answer:

Verified

Step-by-step explanation:

Let the diagonal matrix D with size 2x2 be in the form of

[tex]\left[\begin{array}{cc}a&0\\0&d\end{array}\right][/tex]

Then the determinant of matrix D would be

det(D) = a*d - 0*0 = ad

This is the product of the matrix's diagonal numbers

So the theorem is true for 2x2 matrices

Answer Link

Otras preguntas

The general form of the Quetion of a circle is ax^2+by^2+cx+dy+e=0 where a=b=0 If the circle has a radius of three units and the center lies on the Y axis Which
What is the best way to teach common sense to a child?
This emblem shows a Jewish star inside a shape that combines a fortress and a shield.
How did renaissance scientific advances have helped artists to make more realistic art
An adult who follows a 2000-kcal healthy u.s.-style eating pattern should consume ______ ounce-equivalents from the protein foods group per day.
which expression is equivalent to (9x - 3 1/8)-(7x + 1 3/8)
the graph of a line gets what as the value of the slope gets bigger
what reason does orson welles gives at the press conference for his reaction to the panic cause by his radio broadcast the war of the worlds
A park is in the shape of a rectangle. The park authorities are planning to build a 2-meter-wide jogging path in the park (shown as the shaded region in the ima
Any good study tips for differentiating between different types of pronouns?