HomeEnglishClass 12MathsChapterDeterminants

The system of homogeneous equa...

# The system of homogeneous equation lambdax+(lambda+1)y +(lambda-1)z=0, (lambda+1)x+lambday+(lambda+2)z=0, (lambda-1)x+(lambda+2)y + lambdaz=0 has non-trivial solution for :

Updated On: 17-04-2022

Get Answer to any question, just click a photo and upload the photo
and get the answer completely free,

Text Solution

1.exactly three real value of lambda 2.exactly two real values of lambda 3.exactly three real value of lambda 4.infinitely many real value of lambda

C

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Transcript

hello let's start question question of Lambda minus is equal to zero X + Y + Z equal to zero Lambda + 2 Y + Z is equal to exact value of Lambda exactly in discussion

so equation laptop my dad is equal to zero + Lambda + Z is equal to zero is why Lambda Z is equal to 12 that we know

non trivial solution condition should be ok but it should be equal to zero coefficient of variable equation and BD is equal to Lambda official of one column

coefficient of laptop under 1000 Arman pending and expanding the following into the land of mine laptop

Lambda - X the remaining X Lambda + Lambda + Lambda have to speak and write solving solving we just have to show solving + 1 X + 1 +

minus 1 is equal to zero ok now we can write it as Lambda + 1 equal to zero is equal to zero is equal to 20 and 22 real land

option so you can to question exactly two real value of land correct confused 2 land value correct option option option

thank you
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}