This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1882 Excerpt: ...columns of the first determinant, increasing tlie number of rows by superposing the deleted columns of the second determinant after changing them in order into rows, putting zeros in the places above the added columns and to the right of the added rows, and prefixing to the determimant thus formed the sign-factor (-l ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1882 Excerpt: ...columns of the first determinant, increasing tlie number of rows by superposing the deleted columns of the second determinant after changing them in order into rows, putting zeros in the places above the added columns and to the right of the added rows, and prefixing to the determimant thus formed the sign-factor (-l)ra("+1). The multiplication-theorem of 67 is the case of this where m = 0, although strictly to include it the word "multiplying" here would have to give place to a phrase descriptive of the process intended. 84. Since either of the determinants in each of the products referred to in the theorem of 77 may itself be expressed as an aggregate of products of complementary minors, we see that by repeated use of the theorem we can develope a determinant as an aggregate of products of more than two minors. Thus aAcAe, f = aj2c31 dtejt-u&c, d3eje + = a, l I I A/t I-aJ 6A I I dAf- I + a- hA I I Aft I where each term is a product of three minors, one of the first, one of the second, and one of the third order. 85. The product of two determinants of the same order is equal to the sum of like products obtained from the original by interchanging a particular column of the one determinant with the columns of the other in succession. Let aln, 6, be the two determinants, and, first, let the particular column fixed upon be the first column of aln. If a determinant of the 2nih order be formed, having an for the minor situated in the first n rows and first n columns, a determinant of n zero elements for the minor situated in the last n rows and first n columns, and bln for the complementary of both of these: and if the first column of aln be then interchanged with the column of zeros below it, we have...
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Add this copy of A Treatise On the Theory of Determinants: With to cart. $19.72, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
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New. Trade paperback (US). Glued binding. 292 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Fine. Sewn binding. Cloth over boards. 292 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Sewn binding. Cloth over boards. 292 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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