In the following 2 × 2 linear systems (A) and (B), c is a nonzero scalar. Prove that any solution, x 1 = s 1 , x 2 = s 2 , for (A) is also a solution for (B). Conversely, show that any solution, x 1 = t 1 , x 2 = t 2 , for (B) is also a solution for (A), where is the assumption that c is nonzero required? (A) a 11 x 1 + a 12 x 2 = b 1 a 21 x 1 + a 22 x 2 = b 2 (B) a 11 x 1 + a 12 x 2 = b 1 c a 21 x 1 + c a 22 x 2 = c b 2
In the following 2 × 2 linear systems (A) and (B), c is a nonzero scalar. Prove that any solution, x 1 = s 1 , x 2 = s 2 , for (A) is also a solution for (B). Conversely, show that any solution, x 1 = t 1 , x 2 = t 2 , for (B) is also a solution for (A), where is the assumption that c is nonzero required? (A) a 11 x 1 + a 12 x 2 = b 1 a 21 x 1 + a 22 x 2 = b 2 (B) a 11 x 1 + a 12 x 2 = b 1 c a 21 x 1 + c a 22 x 2 = c b 2
Solution Summary: The author explains that the (2times 2) linear system (A) and (B) is a nonzero scalar.
In the following
2
×
2
linear systems (A) and (B),
c
is a nonzero scalar. Prove that any solution,
x
1
=
s
1
,
x
2
=
s
2
, for (A) is also a solution for (B). Conversely, show that any solution,
x
1
=
t
1
,
x
2
=
t
2
, for (B) is also a solution for (A), where is the assumption that
c
is nonzero required?
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HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY