Determinant of a 3 x 3 Matrix

Calculating a 3rd order determinant.

Category:

Science & Technology

Tags:

• Algebra
• Matrix

[abarashyasir1]

how can v apply the same format if v need to solve 10 x 10 matrix?

[acs1789]

@abarashyasir1 It only works for 3 x 3 matrices. For 10 x 10, you would have to use something like cofactor expansion (or a graphing calculator).

[SuperPrettyCOLORS]

don't you DIVIDE the green numbers by the red numbers?

[acs1789]

@SuperPrettyCOLORS No.

[jcpotter56]

sooo would the equation from the beginning(Q=) be

2x-4y=7

8x+1/2y=3

6x-9y=5 ...?

need an answer fast plz!

[acs1789]

@jcpotter56 Actually, the numbers you see in the matrix represent coefficients, so those numbers you have on the right side of the 3 equations you wrote would really be coefficients on the variable "z".

[acs1789]

@nz109304  This method is perfectly acceptable providing that it is a 3 x 3 matrix. Anyone who passed an elementary linear algebra course would know that. However, it would be wrong to attempt this on a 4 x 4 matrix, for example. Cofactor expansion is the proper methodology for a general n x n matrix.

[xXxRudeBoyKenTV]

You taught me how to evaluate 3x3 determinants in less then 10 minutes. it took my teacher a 1 and 30 minutes to explain it & I was still confused when he did it.

Thank you sooo much!

[xsvdynastyxsv]

shouldn't there be 3 answers though?

[ashidilkhan]

sir very very nice. you created a new idea very easy

God Bless you

[morrisj23]

awesome video

[lamusica54]

thanks :)

[Roger4313]

U explained it perfectly thanks yo

[291094alex]

thaaaaaaaaaank youuuu he even explained it better than my teacher

[sharvey702]

i forgot how to solve determinants. this video helps me to remember.

thanks a lot. i made it. i remember now

[luclfersangel616]

abc

def

ghi

a(ei-fh)-b(di-fg)+c(dh-eg)

is how I learned it.

[RobertsDigital]

???