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Questions on the manipulation of matrices in Mathematica.

3 votes

Building a matrix in block matrix format

m30 = ConstantArray[3, {30, 30}]; i30 = IdentityMatrix[30]; m48 = ConstantArray[4, {48, 48}]; m12 = ConstantArray[0, {48, 12}]; Transpose@Join[m30, i30]~Join~Join[m12, m48, 2]
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4 votes

Position of n largest elements in each row in a matrix that satisfies certain criterion

We can also use the new PositionLargest (since 13.2) m = {{1, 2, 3}, {3, -2, 1/3}}; Get positions: p = Flatten @ PositionLargest[#, Min[2, Count[#, u_ /; u > 0.5]]] & /@ m {{3, 2}, {1}} Index them: …
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3 votes

How to sum matrix elements based on finding the first (and second) non-zero elements of each...

Using 1066's data mat = {{0., 0., 0., 0., 0}, {0., 0., 0., 0., 0}, {0., 0., 0., 25.5317, 29.1235}, {0., 0., 0., 0., 8.85471}, {0., 0., 0., 0., 0}, {0., 0., 0., 0., 0}, {0., 0., 0., 0., 6.90018}, …
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2 votes

Split matrix by all-zero columns

mat = {{0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1}, {0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1}}; Using SequenceSplit (new in 11.3) MatrixForm @* Transp …
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2 votes

How to fill lower trianglar matrix with elements of a vector

n = 5; v = Range[n (n + 1)/2]; Using FoldPairList and TakeDrop PadRight @ FoldPairList[TakeDrop, v, Range @ n] {{1, 0, 0, 0, 0}, {2, 3, 0, 0, 0}, {4, 5, 6, 0, 0}, {7, 8, 9, 10, 0}, {11, 12, 13, 14 …
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2 votes

Creation of one column matrix

Using ReplaceAt (new in 13.1) ReplaceAt[Table[{0}, 4], _ :> {-1}, 1] Using MapAt MapAt[{-1} &, Table[{0}, 4], 1] Both produce {{-1}, {0}, {0}, {0}}
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1 vote

Matrix manipulation

In other cases (few deletions) one could also consider Delete: m = Partition[Range[400], 20]; del = {{7}, {9}, {12}, {13}, {15}, {16}, {18}, {19}}; m // Delete[del] // Transpose // Delete[del] // T …
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5 votes

Using Wolfram Alpha-syntax for transpose, etc

Dot is a special case of Inner list = {{0, 1}, {0, 2}, {0, 3}}; Inner[Times, list, Transpose[list], Plus] // MatrixForm list = {{1, 1}, {1, 2}, {1, 3}} Inner[Power, list, Transpose[list], Plu …
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4 votes
Accepted

How do I put matrices next to each other?

Like this? (a = ConstantArray["A", {4, 3}]) // MatrixForm (b = ConstantArray["B", {4, 4}]) // MatrixForm Map[Flatten, Transpose[{a, b}]] // MatrixForm
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3 votes
Accepted

Simple subtraction of two square matrices giving strange results

Define Test with SetDelayed (:=) Clear["Global`*"]; Test[s_, cm_]:= Module[{a, b, c}, a = s Transpose[s]; b = cm + a; c = Transpose[s] * Inverse[b] * s; IdentityMatrix[2] - c] Test[{{0. …
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2 votes

Help with sum specific elements of a matrix in mathematica

list = {{1, 2, 3, 3}, {4, 5, 6, 6}, {7, 8, 9, 9}, {1, 5, 9, 7}}; p = {{2, 1}, {4, 3}}; Using MapApply (new in 13.1) Total @ MapApply[list[[##]]&] @ p 13
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2 votes

How to add rows to a matrix to achieve a given order?

c = 4; r = 3; mat = Partition[Range[4 c], c]; Join[mat, Array[a &, {r, n}]] // MatrixForm
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3 votes
Accepted

Evaluation of m.v is blocked by applying MatrixForm. Why?

Evaluate Head@mm - There's the answer :)
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2 votes
Accepted

Make an effective projection of matrix

A /. "" -> Sequence[] {{1, 2, 3, 4}, {2, 3, 4}, {3, 4}, {4, 5}}
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3 votes

Measures of association, Concordant and Discordant

m = {{{1, 1}, {2, 4}}, {{1, 5}, {2, 4}}, {{1, 1}, {1, 1}}}; Times @@@ (Sign /@ Subtract @@@ m) /. (0 | 1) -> "Concordant" /. -1 -> "Discordant" {"Concordant", "Discordant", "Concordant"}
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