[Video Solution] Consider the matrix f(x)=\beginbmatrix \cos x & -\sin x & 0\\ \sin x & \cos x... | ASPIRE STUDY

Name: [Video Solution] Consider the matrix f(x)=\beginbmatrix \cos x & -\sin x & 0\\ \sin x & \cos x... | ASPIRE STUDY
Uploaded: 2026-02-15T16:15:13+00:00
Description: Consider the matrix f(x)=\beginbmatrix \cos x & -\sin x & 0\\ \sin x & \cos x & 0\\ 0 & 0 & 1 \endbmatrix. Given below are two statements: Statement I : f(-x) is the inverse of the matrix f(x). Statement II : f(x)f(y)=f(x+y). In the light of the above statements, choose the correct answer: | Watch the step-by-step video solution for this NIMCET PYQ.

Consider the matrix f(x)=\beginbmatrix \cos x & -\sin x & 0\\ \sin x & \cos x & 0\\ 0 & 0 & 1 \endbmatrix. Given below are two statements: Statement I : f(-x) is the inverse of the matrix f(x). Statement II : f(x)f(y)=f(x+y). In the light of the above statements, choose the correct answer: | Watch the step-by-step video solution for this NIMCET PYQ.

Published: 2026-02-15T16:15:13+00:00 Thumbnail: Open Page: https://www.aspirediary.com/library/video/14124/consider-the-matrix-f-x-beginbmatrix-cos-x-sin-x-0-sin-x-cos-x

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