SOLUTION: Please , I need help with this one. Evaluate the indicated minor and cofactor for the determinant 3 -2 3 1 3 0 6 -2 3 M23, C23 How

Question 47668This question is from textbook College Algebra
: Please , I need help with this one.
Evaluate the indicated minor and cofactor for the determinant

3 -2 3
1 3 0
6 -2 3 M23, C23
How will I know which row and column to delete? What does 23 signifies? This question is from textbook College Algebra

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
number the determinant as follows
R1=ROW1,R2=ROW2...ETC....C1=COLUMN1 ETC...
............C1......C2......C3
R1..........3..... -2...... 3
R2..........1...... 3...... 0
R3..........6..... -2...... 3
WE CALL THE ELEMENT OR NUMBER AT THE INTERSECTION OF R1 AND C1 AS...E11 SAY.THIS IS 3
SIMILARLY...E32=ELEMENT IN R3 AND C2 = -2...ETC....
NOW M23 MEANS MINOR OF E23..THAT IS ELEMENT IN R2 AND C3 = 0...
FOR THIS PURPOSE YOU SHOULD REMOVE THR ROW AND COLUMN CONTAING E23...THAT IS REMOVE R2 AND C3 FULL..WE GET
...........C1.......C2..........C3 REMOVED
R1.........3.......-2
................................R2 REMOVED
R3.........6.......-2
SO WE GET A 2 BY 2 DETERMINANT AS MINOR OF A 3 BY 3 DETERMINANT.
NOW C23 MEANS COFACTOR OF E23..IT IS THE ABOVE DETEMINANT THAT IS M23 MULTIPLIED BY (-1)^(2+3)=(-1)^5=-1
SO C23=-1M23
SIMILARLY
C11=(-1)^(1+1)M11=M11
C12=(-1)^(1+2)M13=-M12...ETC....
RELATED QUESTIONS
calculate the cofactor of the element 9 of this determinant 1 2 3 4 6 7 8 9 -1 -2 -3... (answered by mathie123)

please help me with this problem. what is the value of the determinant. [3 6 8] [2 4... (answered by stanbon)

calculate the cofactor of the element 9 of this determinant: 1 2 3 4 6 7 8 9 -1 -2... (answered by Alan3354)

Compute the determinant: 4 0 -1 3 6 -2 -2 5 1 Complete lost on this one. Please... (answered by ikleyn)

evaluate the determinant: 3 4 -1... (answered by stanbon)

1. SOLVE USING THE SUBSTITUTION METHOD. x + y = 1 x - y = -3 2. Evaluate the... (answered by venugopalramana)

evaluate the determinant 2 3 3... (answered by solver91311)

evaluate the following determinant -5, 1, 0 2, -1, 6 5, 3... (answered by Fombitz)

evaluate the 3 x 3 determinant 3 4 -1 4 6 2 8 -2 3 (answered by Nate)