The top row of matrix A (1, 2, 1) is multiplied with the first column of matrix B (1,0,-1) and the result is 1x1 + 2x0 + 1x -1 = 0 this is row 1 column 1 of the resultant matrix
The top row of matrix A (1,2,1) is multiplied with the second column of matrix B (-1, -1, 1) and the result is 1 x-1 + 2 x -1 + 1 x 1 = -2 , this is row 1 column 2 of the resultant matrix
Repeat with the second row of matrix A (-1,-1.-2) x (1,0,-1) = 1 this is row 2 column 1 of the resultant matrix, multiply the second row of A (-1,-1,-2) x (-1,-1,1) = 0, this is row 2 column 2 of the resultant
Repeat with the third row of matrix A( -1,1,-2) x (1,0, -1) = 1, this is row 3 column 1 of the resultant
the third row of A (-1,1,-2) x( -1,-1,1) = -2, this is row 3 column 2 of the resultant matrix
Matrix AB ( 0,-2/1,0/1,-2)
Answer:
The final answers are x = 10.385 OR x = -0.385
Step-by-step explanation:
Given the equation is x^2 -4 = 10x
Rewriting it in quadratic form as:- x^2 -10x -4 = 0.
a = 1, b = -10, c = -4.
Using Quadratic formula as follows:- x = ( -b ± √(b² -4ac) ) / (2a)
x = ( 10 ± √(100 -4*1*-4) ) / (2*1)
x = ( 10 ± √(100 +16) ) / (2)
x = ( 10 ± √(116) ) / (2)
x = ( 10 ± 10.77 ) / (2)
x = ( 10 + 10.77 ) / (2) OR x = ( 10 - 10.77 ) / (2)
x = 20.77/2 OR x = -0.77/2
x = 10.385 OR x = -0.385
Hence, final answers are x = 10.385 OR x = -0.385
Answer: 28.33 Celsius and 301.483 Kelvin
83°F − 32) × 5/9 = 28.333°C
(83°F − 32) × 5/9 + 273.15 = 301.483K