重塑Symbolic Row Vector into Column Vector

重塑V，这是一个1 x-4行向量，进入4 x-1列向量Y。这里，V和Ymust have the same number of elements.

Create the vectorV。

syms f(x) y V = [3 f(x) -4 y]

V = [ 3, f(x), -4, y]

重塑VintoY。

Y = reshape(V,4,1)

y = 3 f（x）-4 y

Alternatively, usey =V。'where。'is the nonconjugate transpose.

重塑Symbolic Matrix

重塑the 2-by-6 symbolic matrixMinto a 4-by-3 matrix.

m = sym（[1 9 4 3 0 1; 3 9 5 1 9 2]）N = reshape(M,4,3)

m = [1，9，4，3，0，1] [3，9，5，1，9，2] n = [1，4，0] [3，5，9]] [9，1，2]

M和Nmust have the same number of elements.reshape阅读Mcolumn-wise to fill in the elements ofNcolumn-wise.

Alternatively, use a size vector to specify the dimensions of the reshaped matrix.

sz = [4 3]; N = reshape(M,sz)

n = [1，4，0] [3，5，9] [9，3，1] [9，1，2]

Automatically Set Dimension of Reshaped Matrix

When you replace a dimension with the placeholder[],reshape计算该维度的所需大小以重塑矩阵。

创建矩阵M。

m = sym（[1 9 4 3 0 1; 3 9 5 1 9 2]）

m = [1、9、4、3、0、1] [3、9、5、1、9、2]

重塑Minto a matrix with three columns.

重塑（M,[],3)

ans = [1，4，0] [3，5，9] [9，3，1] [9，1，2]

reshape计算出三列的重塑矩阵需要四行。

重塑矩阵行

重塑a matrix row-wise by transposing the result.

创建矩阵M。

syms x m = sym（[1 9 0 sin（x）2 2; nan x 5 1 4 7]）））

M = [ 1, 9, 0, sin(x), 2, 2] [ NaN, x, 5, 1, 4, 7]

重塑M通过转移结果来行。

重塑（M,4,3).'

ans = [ 1, NaN, 9, x] [ 0, 5, sin(x), 1] [ 2, 4, 2, 7]

Note that。'返回非偶联的转置'返回共轭转置。

重塑3-D Array into 2-D Matrix

重塑the 3-by-3-by-2 arrayMinto a 9-by-2 matrix.

Mhas 18 elements. Because a 9-by-2 matrix also has 18 elements,Mcan be reshaped into it. ConstructM。

syms x M = [sin(x) x 4; 3 2 9; 8 x x]; M(:,:,2) = M'

M(:,:,1) = [ sin(x), x, 4] [ 3, 2, 9] [ 8, x, x] M(:,:,2) = [ sin(conj(x)), 3, 8] [ conj(x), 2, conj(x)] [ 4, 9, conj(x)]

重塑Minto a 9-by-2 matrix.

n =重塑（M，9,2）

N = [ sin(x), sin(conj(x))] [ 3, conj(x)] [ 8, 4] [ x, 3] [ 2, 2] [ x, 9] [ 4, 8] [ 9, conj(x)] [ x, conj(x)]

使用重塑分解阵列

Usereshapeinstead of loops to break up arrays for further computation. Usereshape分解矢量Vto find the product of every three elements.

Create vectorV。

syms x V = [exp(x) 1 3 9 x 2 7 7 1 8 x^2 3 4 sin(x) x]

V = [ exp(x), 1, 3, 9, x, 2, 7, 7, 1, 8, x^2, 3, 4, sin(x), x]

Specify3for the number of rows. Use the placeholder[]对于列数。这让reshape自动计算三行所需的列数。

M = prod( reshape(V,3,[]) )

M = [ 3*exp(x), 18*x, 49, 24*x^2, 4*x*sin(x)]

reshapecalculates that five columns are required for a matrix of three rows.prodthen multiples the elements of each column to return the result.