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{"sheet":"Overview","index":0,"n_rows":19,"n_cols":6,"rows_kept":19,"cut":false,"hidden":false,"merged":[[1,1,1,4],[3,1,3,4],[9,1,9,4],[15,1,15,3]]}
[]
[null,"Overview to Calculate Inverse Matrix in Excel"]
[]
[null,"Matrix A"]
[null,null,"A","B","C"]
[null,"i",2,5,-7]
[null,"j",7,0,11]
[null,"k",13,2,8]
[]
[null,"Inverse of Matrix A"]
[null,null,"A","B","C"]
[null,"i",{"$f":"MINVERSE(C6:E8)","v":-7.5085324232081904E-2},-0.18430034129692829,0.18771331058020474,{"$f":"_xlfn.FORMULATEXT(C12)","v":"=MINVERSE(C6:E8)"}]
[null,"j",0.29692832764505117,0.36518771331058009,-0.2423208191126279]
[null,"k",4.7781569965870296E-2,0.20819112627986344,-0.11945392491467574]
[]
[null,"Inverse of Sub  Matrix of A"]
[null,null,"A","B"]
[null,"i",{"$f":"MINVERSE(C6:D7)","v":0},0.14285714285714285,{"$f":"_xlfn.FORMULATEXT(C18)","v":"=MINVERSE(C6:D7)"}]
[null,"j",0.2,-5.7142857142857141E-2]

{"sheet":"MINVERSE_2x2","index":1,"n_rows":12,"n_cols":4,"rows_kept":12,"cut":false,"hidden":false,"merged":[[1,1,1,3],[3,1,3,3],[8,1,8,3]]}
[]
[null,"Calculating Inverse Matrix of a 2×2 Matrix"]
[]
[null,"Matrix A"]
[null,null,"A","B"]
[null,"i",2,5]
[null,"j",7,0]
[]
[null,"Inverse Matrix A"]
[null,null,"A","B"]
[null,"i",{"$f":"MINVERSE(C6:D7)","v":0},0.14285714285714285]
[null,"j",0.2,-5.7142857142857141E-2]

{"sheet":"MINVERSE_3x3","index":2,"n_rows":14,"n_cols":5,"rows_kept":14,"cut":false,"hidden":false,"merged":[[3,1,3,4],[1,1,1,4],[9,1,9,4]]}
[]
[null,"Calculating Inverse Matrix of a 3×3 Matrix"]
[]
[null,"Matrix A"]
[null,null,"A","B","C"]
[null,"i",2,5,-7]
[null,"j",7,0,11]
[null,"k",13,2,8]
[]
[null,"Inverse of Matrix A"]
[null,null,"A","B","C"]
[null,"i",{"$f":"MINVERSE(C6:E8)","v":-7.5085324232081904E-2},-0.18430034129692829,0.18771331058020474]
[null,"j",0.29692832764505117,0.36518771331058009,-0.2423208191126279]
[null,"k",4.7781569965870296E-2,0.20819112627986344,-0.11945392491467574]

{"sheet":"MINVERSE_4x4","index":3,"n_rows":16,"n_cols":6,"rows_kept":16,"cut":false,"hidden":false,"merged":[[1,1,1,5],[3,1,3,5],[10,1,10,5]]}
[]
[null,"Calculating Inverse Matrix of a 4×4 Matrix"]
[]
[null,"Matrix A"]
[null,null,"A","B","C","D"]
[null,"i",2,5,13,-7]
[null,"j",7,8,9,5]
[null,"k",7,0,2,11]
[null,"l",13,2,4,8]
[]
[null,"Inverse of Matrix A"]
[null,null,"A","B","C","D"]
[null,"i",{"$f":"MINVERSE(C6:F9)","v":-8.4357234549789096E-3},-3.1909040894920221E-2,-9.9028057949752432E-2,0.14872547221712817]
[null,"j",-0.10948101962222628,0.19457179534201355,-0.15477718686961306,-4.5846323124885289E-3]
[null,"k",0.11223179900971941,-5.3731890702365677E-2,0.14359068402714101,-6.5651934714835866E-2]
[null,"l",-1.5037593984962409E-2,3.0075187969924814E-2,0.12781954887218044,-8.2706766917293242E-2]

{"sheet":"Manual_Formula","index":4,"n_rows":20,"n_cols":5,"rows_kept":20,"cut":false,"hidden":false,"merged":[[14,1,14,4],[10,4,12,4],[1,1,1,4],[3,1,3,4],[9,1,9,3]]}
[]
[null,"Using Manual Formula"]
[]
[null,"Matrix A"]
[null,null,"A","B","C"]
[null,"i",2,5,-7]
[null,"j",7,0,11]
[null,"k",13,2,8]
[]
[null,"Adjoint Matrix A",null,null,"Determinant"]
[null,{"$f":"MINVERSE(C6:E8) * (MDETERM(C6:E8) *(-1) ^ (ROW() + COLUMN()))","v":22.000000000000004},54,-55,{"$f":"MDETERM(C6:E8)","v":293.00000000000006}]
[null,-87.000000000000014,-106.99999999999999,70.999999999999986]
[null,-14,-61,35]
[]
[null,"Inverse Matrix A"]
[]
[null,null,"A","B","C"]
[null,"i",{"$f":"_xlfn.ANCHORARRAY(B11)/E11","v":7.5085324232081904E-2},0.18430034129692829,-0.18771331058020474]
[null,"j",-0.29692832764505117,-0.36518771331058009,0.2423208191126279]
[null,"k",-4.7781569965870296E-2,-0.20819112627986344,0.11945392491467574]

{"sheet":"Inverse_MatrixA_VBA","index":5,"n_rows":14,"n_cols":5,"rows_kept":14,"cut":false,"hidden":false,"merged":[[1,1,1,4],[3,1,3,4],[9,1,9,4]]}
[]
[null,"Creating VBA User Defined Function"]
[]
[null,"Matrix A"]
[null,null,"A","B","C"]
[null,"i",2,5,-7]
[null,"j",7,0,11]
[null,"k",13,2,8]
[]
[null,"Inverse of Matrix A"]
[null,null,"A","B","C"]
[null,"i",{"$f":"inverseMatrixA(C6:E8)","v":-7.5085324232081904E-2},-0.18430034129692829,0.18771331058020474]
[null,"j",0.29692832764505117,0.36518771331058009,-0.2423208191126279]
[null,"k",4.7781569965870296E-2,0.20819112627986344,-0.11945392491467574]

{"sheet":"Multiplication_Inverse","index":6,"n_rows":23,"n_cols":5,"rows_kept":23,"cut":false,"hidden":false,"merged":[[1,1,1,4],[3,1,3,4],[10,1,10,4],[17,1,17,4]]}
[]
[null,"Inverse Matrix Multiplication to Find Identity Matrix"]
[]
[null,"Matrix A"]
[null,null,"A","B","C"]
[null,"i",2,5,-7]
[null,"j",7,0,11]
[null,"k",13,2,8]
[]
[]
[null,"Inverse Matrix of A"]
[null,null,"A","B","C"]
[null,"i",{"$f":"MINVERSE(C6:E8)","v":-7.5085324232081904E-2},-0.18430034129692829,0.18771331058020474]
[null,"j",0.29692832764505117,0.36518771331058009,-0.2423208191126279]
[null,"k",4.7781569965870296E-2,0.20819112627986344,-0.11945392491467574]
[]
[]
[null,"Multiplication of Matrix with Inverse Matrix"]
[]
[null,null,"A","B","C"]
[null,"i",{"$f":"MMULT(C6:E8,C13:E15)","v":1},-2.2204460492503131E-16,1.1102230246251565E-16]
[null,"j",-1.1102230246251565E-16,1,0]
[null,"k",0,-2.2204460492503131E-16,1]