Let t be the linear operator on r², the matrix of which in the standard basis {e1,e2} is the matrix a given by is there a matrix p with real entries such that p-1ap is upper triangular? justify.

take it another

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step-by-step explanation:

60: 45 =12: 9 =4: 3 so the answer is 4: 3

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.