Menu Close

Category: Matrices and Determinants

let-D-v-5-1-3-m-find-number-v-and-m-such-that-D-2-5I-I-identity-matrix-

Question Number 153227 by Eric002 last updated on 05/Sep/21 letD=[v513m]findnumber(v)and(m)suchthatD2=5I(I=identitymatrix) Answered by puissant last updated on 05/Sep/21 $${D}^{\mathrm{2}} =\begin{bmatrix}{{v}^{\mathrm{2}} +\frac{\mathrm{5}}{\mathrm{3}}\:\:\:\:\:\:\:\:\:\:\mathrm{5}{v}+\mathrm{5}{m}}\{\frac{{v}}{\mathrm{3}}+\frac{{m}}{\mathrm{3}}\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{5}}{\mathrm{3}}+{m}^{\mathrm{2}}…

E-is-a-vectorial-plan-in-R-with-a-base-B-i-j-f-is-an-endomorphism-of-E-defined-u-xi-yj-by-f-u-7x-12y-i-4x-7y-j-1-Determinate-f-i-and-f-j-then-write-the-mat

Question Number 86021 by mathocean1 last updated on 26/Mar/20 EisavectorialplaninRwithabaseB=(i,j).fisanendomorphismofEdefinedu=xi+yjbyf(u)=(7x12y)i+(4x+7y)j.$$\left.\mathrm{1}\right)\:{Determinate}\:{f}\left(\overset{\rightarrow} {{i}}\right)\:{and}\:{f}\left(\overset{\rightarrow}…

Let-A-and-B-is-3-3-matrix-of-equal-number-where-A-symmetric-matrix-B-skew-symmetric-matrix-and-the-relation-A-B-A-B-A-B-A-B-then-the-value-of-k-AB-T-1-k-AB-a-1-

Question Number 19589 by gourav~ last updated on 13/Aug/17 LetAandBis3×3matrixofequalnumberwhereA=symmetricmatrix.B=skewsymmetricmatrixandtherelation(A+B)(AB)=(AB)(A+B)then..thevalueof..k(AB)T=(1)k(AB)$$\left({a}\right)\:−\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({c}\right)\:\mathrm{2} \