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CBSE Class 10 Answered

open square brackets table row 2 1 row 3 2 end table close square brackets open square brackets table row a b row c d end table close square brackets open square brackets table row cell negative 3 end cell 2 row 5 cell negative 3 end cell end table close square brackets equals open square brackets table row 1 0 row 0 1 end table close square brackets. Find a,b,c,d.
Asked by Gounshi | 09 Apr, 2020, 10:03: PM
answered-by-expert Expert Answer
If [2  1  //  3  2] [a  b  //  c  d] [-3  2  // 5  -3] = [1  0  //  0  1]
To find a, b, c, d
open square brackets table row 2 1 row 3 2 end table close square brackets open square brackets table row a b row c d end table close square brackets open square brackets table row cell negative 3 end cell 2 row 5 cell negative 3 end cell end table close square brackets equals open square brackets table row 1 0 row 0 1 end table close square brackets
rightwards double arrow open square brackets table row cell negative 6 a minus 3 c plus 10 b plus 5 d end cell cell 4 a plus 2 c minus 6 b minus 3 d end cell row cell negative 9 a minus 6 c plus 15 b plus 10 d end cell cell 6 a plus 4 c minus 9 b minus 6 d end cell end table close square brackets equals open square brackets table row 1 0 row 0 1 end table close square brackets
minus 6 a minus 3 c plus 10 b plus 5 d equals 1 space... space left parenthesis i right parenthesis
4 a plus 2 c minus 6 b minus 3 d equals 0 space... space left parenthesis i i right parenthesis
minus 9 a minus 6 c plus 15 b plus 10 d equals 0 space... space left parenthesis i i i right parenthesis
6 a plus 4 c minus 9 b minus 6 d equals 1 space... space left parenthesis i v right parenthesis
6 left parenthesis i right parenthesis space minus space 3 left parenthesis i i i right parenthesis comma space w e space g e t
minus 9 a plus 15 b equals 6 space... space left parenthesis v right parenthesis
M u l t i p l y i n g space left parenthesis i i right parenthesis space b y space 2 space a n d space s u b t r a c t i n g space left parenthesis i v right parenthesis space f r o m space i t comma space w e space g e t
2 a minus 3 b equals negative 1 space... space left parenthesis v i right parenthesis
left parenthesis v right parenthesis space plus space 5 left parenthesis i v right parenthesis
rightwards double arrow a equals 1
rightwards double arrow b equals 1
A d d i n g space left parenthesis i right parenthesis space a n d space left parenthesis i v right parenthesis space rightwards double arrow c plus b minus d equals 2 space rightwards double arrow space c minus d equals 1... space left parenthesis v i i right parenthesis
9 left parenthesis i i right parenthesis plus 4 left parenthesis i i i right parenthesis space rightwards double arrow negative 6 c plus 6 b plus 13 d equals 0 space rightwards double arrow negative 6 c plus 13 d equals negative 6 space... space left parenthesis v i i i right parenthesis
6 left parenthesis v i i i right parenthesis plus left parenthesis v i i i right parenthesis space space rightwards double arrow d equals 0
F r o m space left parenthesis v i i right parenthesis space rightwards double arrow c equals 1
Answered by Renu Varma | 10 Apr, 2020, 01:12: PM
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