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A Cramer rule for solution of the general restricted linear equation. (English) Zbl 0796.15005

A generalization of Cramer’s rule is obtained which solves equations of the form \(Ax=b\) where \(A\) is rectangular and \(x\) is restricted to lie in a given subspace \(T\).

MSC:

15A06 Linear equations (linear algebraic aspects)
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References:

[1] Robinson S. M., Math. Mag. 43 pp 94– (1970)
[2] Robinson, S. M. 1977.Math. Assoc. Amer.313–314. Papers on Algebra
[3] DOI: 10.1016/0024-3795(82)90255-5 · Zbl 0487.15004 · doi:10.1016/0024-3795(82)90255-5
[4] DOI: 10.1016/0024-3795(82)90117-3 · Zbl 0501.15004 · doi:10.1016/0024-3795(82)90117-3
[5] DOI: 10.1080/03081088408817600 · Zbl 0544.15002 · doi:10.1080/03081088408817600
[6] DOI: 10.1016/0024-3795(86)90123-0 · Zbl 0588.15005 · doi:10.1016/0024-3795(86)90123-0
[7] DOI: 10.1016/0024-3795(89)90395-9 · Zbl 0671.15006 · doi:10.1016/0024-3795(89)90395-9
[8] Ben-Israel, A. and Greville, T. N. E. 1974. ”Generalized inverses:Theory and applications”. New York: Wiley. · Zbl 0305.15001
[9] DOI: 10.1016/0024-3795(90)90007-Y · Zbl 0703.15006 · doi:10.1016/0024-3795(90)90007-Y
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