ImageView OutofMemoryException

Eu tenho um problema ao inserir uma imagem em um ImageView. Eu tentei várias maneiras de resolvê-lo, mas ele ainda falha, a versão mais recente segue. O tamanho da imagem é de 3000 x 3000.

Código:

ImageView iv = (ImageView) findViewById(R.id.imageView);  
Bitmap originalBitmap = BitmapFactory.decodeResource(getResources(), R.drawable.prueba_plano_2).copy(Bitmap.Config.ARGB_8888, true);
iv.setImageBitmap(originalBitmap);

XML:

 <FrameLayout
        android:id="@+id/root"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:layout_alignParentBottom="true"
        android:layout_alignParentLeft="true"
        android:layout_below="@+id/buttonlayer" >

        <ImageView
            android:id="@+id/imageView"
            android:layout_width="match_parent"
            android:layout_height="match_parent"
            android:layout_gravity="center"
            android:adjustViewBounds="true"
            android:contentDescription="@string/desc"
            android:scaleType="matrix" />
</FrameLayout>

Logcat:

06-21 09:32:06.721: E/AndroidRuntime(25709): FATAL EXCEPTION: main
06-21 09:32:06.721: E/AndroidRuntime(25709): java.lang.OutOfMemoryError
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.Bitmap.nativeCreate(Native Method)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.Bitmap.createBitmap(Bitmap.java:605)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.Bitmap.createBitmap(Bitmap.java:551)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.Bitmap.createScaledBitmap(Bitmap.java:437)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.BitmapFactory.finishDecode(BitmapFactory.java:524)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.BitmapFactory.decodeStream(BitmapFactory.java:499)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.BitmapFactory.decodeResourceStream(BitmapFactory.java:351)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.BitmapFactory.decodeResource(BitmapFactory.java:374)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at android.graphics.BitmapFactory.decodeResource(BitmapFactory.java:404)
06-21 09:32:06.721: E/AndroidRuntime(25709):    at 

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