举一反三
- If a matrix A is[img=40x20]1803b6ad35c48eb.png[/img]and the product AB is [img=40x20]1803b6ad3db03d2.png[/img], what is the size of B? A: [img=40x20]1803b6ad44dbaf6.png[/img] B: [img=40x20]1803b6ad4caf12b.png[/img] C: [img=40x20]1803b6ad55045e2.png[/img] D: [img=40x20]1803b6ad5caea53.png[/img]
- Let A be a [img=40x20]1803c4e60908a8b.png[/img]matrix, and the determinant of A is 0,then _________. A: there must be a column of elements in A that are all 0 B: there must be a column in A that is a linear combination of the other column vectors C: there must be two columns that are proportional to each other D: any column vector in A is a linear combination of the remaining column vectors
- If P is an[img=44x19]1803b6aa96e88c4.png[/img] matrix with orthogonal columns, then[img=72x23]1803b6aa9ec8a8d.png[/img]
- If A is a [img=40x20]1803c4e438d5e6e.png[/img] matrix and [img=141x21]1803c4e44127ce1.png[/img], then A must be singular.
- If A is a [img=40x20]180348ee73f28ea.png[/img] matrix , [img=124x21]180348ee7d54af8.png[/img], then A must be singular
内容
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The columns of the standard matrix for a linear transformation from [img=22x19]1803b6a8c19a71a.png[/img]to [img=25x19]1803b6a8c9f3863.png[/img] are the images of the columns of the [img=44x19]1803b6a8d3fc1b1.png[/img] indentity matrix.
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An[img=49x19]1803b6aafbee947.png[/img] matrix A has orthonormal columns if and only if[img=59x23]1803b6ab03fb852.png[/img].
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Which of the following statement is false? A: Ais an[img=49x19]1803b6abf33899a.png[/img]matrix.[img=66x23]1803b6abfb9f77f.png[/img]is a QR factorization ofA. The columns ofQform an orthonormal basis for the column space ofA. B: If A=QR, where Q has orthonormal columns, then[img=79x27]1803b6ac036f846.png[/img] C: Ahas a QR factorization, then A must be a square matrix. D: Any matrix can have a QR factorization. E: If a matrix A has a QR factorization, then the ranks of A and Q are the same.
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对于计算式[img=74x59]17de5fee9dae265.png[/img]，其正确的运算组合式(前缀表示法)为_____。 A: (/ (+ 10 / 20 + 8 4) (+ * 3 6 * 8 2 )) B: ((10 + (20 / (8 + 4))) / ((3 * 6) + (8 * 2))) C: (/ (+ 10 (/ 20 (+ 8 4))) (+ (* 3 6) (* 8 2))) D: (/ (/ 20 (+ 10 (+ 8 4))) (* (+ 3 6) (+ 8 2)))
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对于计算式[img=74x59]18032621cb78b49.png[/img]，其正确的运算组合式(前缀表示法)为_____。 A: (/ (+ 10 (/ 20 (+ 8 4))) (+ (* 3 6) (* 8 2))) B: (/ (+ 10 / 20 + 8 4) (+ * 3 6 * 8 2 )) C: ((10 + (20 / (8 + 4))) / ((3 * 6) + (8 * 2))) D: (/ (/ 20 (+ 10 (+ 8 4))) (* (+ 3 6) (+ 8 2)))