Use the result matrix to declare the final solution to the system of equations. x=4x=4 y=−27y=-27 z=−67z=-67 The solution is the set of ordered pairs that make the system true. (4,−27,−67)(4,-27,-67) x−z+3y=4,z=3y,y−x=5zx-z+3y=4,z=3y,y-x=5z ...
Use the resultmatrixto declare the finalsolutionto thesystem of equations. x=87x=87 y=6y=6 Thesolutionis thesetofordered pairsthat make the system true. (87,6)(87,6) y=4x+3x−2,y=6y=4x+3x-2,y=6 ( ) | [ ] √
12andx. x2-y=-3 9x-y=1 12x-y=-3 9x-y=1 12x−y=−312x-y=-3 9x−y=19x-y=1 Write the system as amatrix. [12−1−39−11][12-1-39-11] Find the reduced row echelon form. Tap for more steps... eachofR1by2to make the entry at1,1a1. ...
在等式两边都加上9。 x-y=9 x+y=6 x−y=9x-y=9 x+y=6x+y=6 Write the system as a matrix. [1−19116][1-19116] 求行简化阶梯形矩阵。 点击获取更多步骤... Perform the row operationR2=R2-R1to make the entry at2,1a0.
Anymatrixmultiplied by itsinverseis equal to11all the time.A⋅A−1=1A⋅A-1=1. [xy]=Inverse[xy]=Inversematrixcannot befound⋅[11]found⋅[11] Simplify the right side of theequation. Tap for more steps... Inverse(matrix)(can⋅not)(be)(found)by eachof the. ...
Linear Algebra Examples x=2+yx=2+y,3x−7y=103x-7y=10 Find theAX=BAX=Bfrom thesystem of equations. [1−13−7]⋅[xy]=[210][1-13-7]⋅[xy]=[210] Find theinverseof thecoefficientmatrix. Tap for more steps... Theof a2×2can be found using the1ad-bc[d-b-ca]wheread-...
x=6y−1x=6y-1,−2x+12y=2-2x+12y=2 Find theAX=BAX=Bfrom thesystem of equations. [1−6−212]⋅[xy]=[−12][1-6-212]⋅[xy]=[-12] Find theinverseof thecoefficientmatrix. Tap for more steps... Theof a2×2can be found using the1|A|[d-b-ca]where|A|is the det...
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Anymatrixmultiplied by itsinverseis equal to11all the time.A⋅A−1=1A⋅A-1=1. [xy]=[12−121212]⋅[−22][xy]=[12-121212]⋅[-22] Multiply[12−121212][−22][12-121212][-22]. Tap for more steps... Two matrices can be multiplied if and only if the number of colu...
Find theinverseof thecoefficientmatrix. Tap for more steps... Theof a2×2can be found using the1ad-bc[d-b-ca]wheread-bcis the determinant. The determinant of a2×2can be found using the|abcd|=ad-cb. 1⋅1-1⋅-1 1by1.