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Question Number 70383 by ®Ëƒ ¬Ë°¹¾¨ ‰¦Í¦¿¨ ¸Ë¹Ç² last updated on 04/Oct/19

If a matrix A is such that 3A^3 +2A^2 +5A+I=0, then A^(−1) is equal to

IfamatrixAissuchthat3A3+2A2+5A+I=0,thenA−1isequalto

Commented by mathmax by abdo last updated on 04/Oct/19

3A^3 +2A^2 +5A +I =0 ⇒3A^3 +2A^2 +5A=−I ⇒ A.(−3A^2 −2A −5I) =I ⇒ A^(−1) =−3A^2 −2A−5I .

3A3+2A2+5A+I=0⇒3A3+2A2+5A=−I⇒A.(−3A2−2A−5I)=I⇒A−1=−3A2−2A−5I.

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