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Name (Last, First): i{rr4crI))eclron:,'pMidterm I, Math 54 002,Lin. Alg. & Diff. Eq., Spring 2019Problem A. Decide if the following are al$ays true or at l€ast sometimes false. Enter youranswerc as T or F in the following charL Correct answers receive I points, incorrect answersrcceive -l points, and blank answeB receive 0 points. Nojustification is necessary, although ifyoubelieve the question is ambiguous, record your interpretation below it. /4 is always a matrix.Statemcnt23456,789l0??-TFTT1Y'' -" '-'4L Any lwo matrices can bemultiplied together - -t.7 ', )2. 1'hc nullspace ofb lineaj tr-ansformation is spannod by the rows of the corresponding matrix3. If the columns of A span, then thc equation ,4x : b has a solution for any value of b.' i) '^4-lNo linear tran(formation from IRJW,#**tr)h"* i, 9rfl :"," ]"Xoble reducedo I i near transfsfuad,orr{rom lRr to6,Nn.,row echelon Qquare matriof any given size.R,.:jr7. If the determinant of a matrix is l, then the matrix is invenible.

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