举一反三
- Ais an[img=44x19]1803b6a4d11437c.png[/img]matrix. Number c is an eigenvalue of A if and only if (A-cI)x=0 has nontrial solutions.
- The matrix A is[img=44x19]1803b6ad8347a80.png[/img]. If the eqaution Ax=0 has only the trivial solution , thenA is invertible.
- Which of the following statement is false? A: If[img=77x23]1803b6aa763b00a.png[/img], where[img=77x23]1803b6aa7e8aab9.png[/img] and D is a diagonal matrix, then B is a symmetric matrix. B: An orthogonal matrix is orthogonally diagonalizable. C: An[img=44x19]1803b6aa8680eb5.png[/img]symmetric matrix has n real eigenvalues. D: An[img=44x19]1803b6aa8680eb5.png[/img]symmetric matrix hasnlinearly independent eigenvectors.
- Let [img=99x19]1803c4e7d6c70bb.png[/img] be a linear transformation. If A is the standard matrix representation of [img=13x19]1803c4e7de70caa.png[/img], then an [img=44x19]1803c4e7e5f3add.png[/img] matrix B will also be a matrix representation of L if and only if B is similar to A.
- 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.
内容
- 0
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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set1 = {x for x in range(10) if x%2==0} print(set1) 以上代码的运行结果为？ A: {0, 2, 4, 6} B: {2, 4, 6, 8} C: {0, 2, 4, 6, 8} D: {4, 6, 8}
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Let A be a 4 by 3 matrix, and r(A)=2, and B is an invertible matrix, then r(AB)=______
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函数[img=129x21]17e0c17aee41cce.jpg[/img]上的最小值为（ ）. A: ０ B: ４ C: ６ D: ８
- 4
函数[img=129x21]17da5916b932283.jpg[/img]上的最小值为（ ）. A: ０ B: ４ C: ６ D: ８