Without performing calculations, explain why the determinant of 1 0 0 3 0 4 2 -1 8 3 -2 4 1 is zero.

Q: If а b с = -1 then what is the value of the determinant -y 3q + b 3r + c ? 2p 2q 2r

A: We have to find the determinant

Q: Evaluate the determinant.

A: The given determinant can be calculated as, 121218-34=12×-34-18×12                  =-38-116…

Q: What does interchanging any two rows (or columns) do to the value of the determinant?

A:

Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

A:

Q: Determine which property of determinants the equation illustrates.

A:

Q: Evaluate the determinants.

A: The matrix a00000b00000c00000d00000e has all its non diagonal elements equal to zero. Such a matrix…

Q: Determine which property of determinants the equation illustrates.

A:

Q: -2 4 6 Solve for the determinant of |-5 2 -4 -4 3 -2

A:

Q: |2–1 -1 -1 2-1 -1 -1 2-1 nxn

A:

Q: 6) Find the determinant: -2 3 4 3 4-2 5 6-3

A:

Q: Evaluate determinant: 2 4 5 0 -1 2 3 -5 12

A:

Q: Determine which property of determinants the equation illustrates.

A:

Q: Determine which property of determinants the equation illustrates.

A: Consider the given equation as

Q: Factorise x^3 + y^3 + z^3 - 3xyz using determinants and complex numbers.

A: x3+y3+z3-3xyz=0

Q: Determine which property of determinants the equation illustrates.

A:

Q: Determine which property of determinants the equation illustrates.

A: Let the given matrices are

Q: A square matrix is invertible if it's determinant is A = 3 32 O 2 0 0 -4 non-zero поп 3X3 . and only…

A:

Q: Determine which property of determinants the equation illustrates.

A: property of determinant:  If one row of the matrix consists entirely of zeros then the determinant…

Q: Determine which property of determinants the equation illustrates.

A: Here the second and third columns are interchanged, so the sign of the determinant changes.

Q: Evaluate the determinant: | 1 6 0 4 2 7 0 5 3

A: Solution:

Q: Determine which property of determinants the equation illustrates.

A: Determine which property of determinants the equation illustrates.

Q: C. 2 |C| = 6 0 8 10 12 12 30 421

A: C Given that C=20126830101242. We have to find the determinant of C that is C. First of all we will…

Q: Evaluate the determinant.

A: Given : 2313-1234