Understanding and applying determinants

Calculate the Determinant

• det = -45

• det = 109

• det = 45

• det = -109

Which of the following are properties of the determinant function:

• multilinear

• alternating

• det(I_n)= 1

• linear transformation

• closed under addition

• -34

• 34

• 18

• -18

What is the determinant of a 3x3 matrix?

• ad - bc
• a + b + c + d + e + f + g + h + i
• aei + bfg + cdh - ceg - bdi - afh
• a - b - c - d - e - f - g - h - i

• $Independent\ of\theta\ only$

• $Independent\ of\phi\ only$

• $Independent\ of\ both\ \theta\ \ and\ \phi$

• $Dependent\ of\ both\ \theta\ \ and\ \phi$

Evaluate the determinant.

FInd the value of det (  $D_z$  ) as given above.

• 80

• -80

• -40

• 40

• A

• B

• C

• D

Evaluate the Determinant.

• -66

• 44

• 68

• -44

• -68

Calculate the determinant

• 0
• none
• -32
• -8